-
Notifications
You must be signed in to change notification settings - Fork 0
/
tp2.nb
2256 lines (2099 loc) · 74.3 KB
/
tp2.nb
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 10.0' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 75922, 2247]
NotebookOptionsPosition[ 69889, 2036]
NotebookOutlinePosition[ 70261, 2052]
CellTagsIndexPosition[ 70218, 2049]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[CellGroupData[{
Cell[BoxData[
FractionBox[
RowBox[{
RowBox[{"(",
RowBox[{"x", "-", "1"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "4"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "6"}], ")"}]}],
RowBox[{"-", "24"}]]], "Input",
CellChangeTimes->{{3.6825428014857826`*^9, 3.6825428405360155`*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox["1", "24"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "6"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}]}]], "Output",
CellChangeTimes->{3.6825428412980595`*^9}]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Expand", "[",
RowBox[{
RowBox[{"-",
FractionBox["1", "24"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "6"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}]}], "]"}]], "Input",
NumberMarks->False],
Cell[BoxData[
RowBox[{"1", "-",
FractionBox[
RowBox[{"17", " ", "x"}], "12"], "+",
FractionBox[
RowBox[{"11", " ",
SuperscriptBox["x", "2"]}], "24"], "-",
FractionBox[
SuperscriptBox["x", "3"], "24"]}]], "Output",
CellChangeTimes->{3.6825428481524515`*^9}]
}, Open ]],
Cell[BoxData[
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{
"--", "\[IndentingNewLine]"}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}\
]}]}]}]}]}]}]}]}]}]], "Input",
CellChangeTimes->{{3.682542860995186*^9, 3.682542863600335*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox[
RowBox[{
RowBox[{"(",
RowBox[{"x", "-", "0"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "4"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "6"}], ")"}]}],
RowBox[{"-", "15"}]]], "Input",
CellChangeTimes->{{3.6825428757760315`*^9, 3.682542883637481*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox["1", "15"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "6"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ", "x"}]], "Output",
CellChangeTimes->{3.682542884356522*^9}]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Expand", "[",
RowBox[{
RowBox[{"-",
FractionBox["1", "15"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "6"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ", "x"}], "]"}]], "Input",
NumberMarks->False],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox[
RowBox[{"8", " ", "x"}], "5"]}], "+",
FractionBox[
RowBox[{"2", " ",
SuperscriptBox["x", "2"]}], "3"], "-",
FractionBox[
SuperscriptBox["x", "3"], "15"]}]], "Output",
CellChangeTimes->{3.682542886658654*^9}]
}, Open ]],
Cell[BoxData[
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{
"--", "\[IndentingNewLine]"}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}\
]}]}]}]}]}]}]}]}]}]}]}]}]}]}]], "Input",
CellChangeTimes->{{3.682542887741716*^9, 3.6825428925999937`*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox[
RowBox[{
RowBox[{"(",
RowBox[{"x", "-", "0"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "1"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "6"}], ")"}]}],
RowBox[{"-", "24"}]]], "Input",
CellChangeTimes->{{3.682542901064478*^9, 3.6825429100999947`*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox["1", "24"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "6"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", "x"}]], "Output",
CellChangeTimes->{3.6825429127351456`*^9}]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Expand", "[",
RowBox[{
RowBox[{"-",
FractionBox["1", "24"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "6"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", "x"}], "]"}]], "Input",
NumberMarks->False],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox["x", "4"]}], "+",
FractionBox[
RowBox[{"7", " ",
SuperscriptBox["x", "2"]}], "24"], "-",
FractionBox[
SuperscriptBox["x", "3"], "24"]}]], "Output",
CellChangeTimes->{3.6825429210236197`*^9}]
}, Open ]],
Cell[BoxData[
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{
"-", "\[IndentingNewLine]"}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]\
}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]], "Input",
CellChangeTimes->{{3.6825429226537127`*^9, 3.6825429273499813`*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox[
RowBox[{
RowBox[{"(",
RowBox[{"x", "-", "0"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "1"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "4"}], ")"}]}],
RowBox[{"-", "60"}]]], "Input",
CellChangeTimes->{{3.682542936478503*^9, 3.682542945787036*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox["1", "60"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", "x"}]], "Output",
CellChangeTimes->{3.6825429466520853`*^9}]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Expand", "[",
RowBox[{
RowBox[{"-",
FractionBox["1", "60"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", "x"}], "]"}]], "Input",
NumberMarks->False],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox["x", "15"]}], "+",
FractionBox[
SuperscriptBox["x", "2"], "12"], "-",
FractionBox[
SuperscriptBox["x", "3"], "60"]}]], "Output",
CellChangeTimes->{3.6825429486131973`*^9}]
}, Open ]],
Cell[BoxData[
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{
"--", "-"}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}\
]}]}]}]}]}]], "Input",
CellChangeTimes->{{3.6825429522624063`*^9, 3.6825429559606175`*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"1", "-",
FractionBox[
RowBox[{"17", " ", "x"}], "12"], "+",
FractionBox[
RowBox[{"11", " ",
SuperscriptBox["x", "2"]}], "24"], "-",
FractionBox[
SuperscriptBox["x", "3"], "24"], "-",
FractionBox[
RowBox[{"8", " ", "x"}], "5"], "+",
FractionBox[
RowBox[{"2", " ",
SuperscriptBox["x", "2"]}], "3"], "-",
FractionBox[
SuperscriptBox["x", "3"], "15"], "-",
FractionBox["x", "4"], "+",
FractionBox[
RowBox[{"7", " ",
SuperscriptBox["x", "2"]}], "24"], "-",
FractionBox[
SuperscriptBox["x", "3"], "24"], "-",
FractionBox["x", "15"], "+",
FractionBox[
SuperscriptBox["x", "2"], "12"], "-",
FractionBox[
SuperscriptBox["x", "3"], "60"]}]], "Input",
CellChangeTimes->{{3.6825429651881456`*^9, 3.682542995112857*^9}}],
Cell[BoxData[
RowBox[{"1", "-",
FractionBox[
RowBox[{"10", " ", "x"}], "3"], "+",
FractionBox[
RowBox[{"3", " ",
SuperscriptBox["x", "2"]}], "2"], "-",
FractionBox[
SuperscriptBox["x", "3"], "6"]}]], "Output",
CellChangeTimes->{3.682543011669804*^9}]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Plot", "[",
RowBox[{
RowBox[{"1", "-",
FractionBox[
RowBox[{"10", " ", "x"}], "3"], "+",
FractionBox[
RowBox[{"3", " ",
SuperscriptBox["x", "2"]}], "2"], "-",
FractionBox[
SuperscriptBox["x", "3"], "6"]}], ",",
RowBox[{"{",
RowBox[{"x", ",", "0", ",", "6"}], "}"}]}], "]"}]], "Input",
CellChangeTimes->{{3.6825431862667904`*^9, 3.6825431917331033`*^9}},
NumberMarks->False],
Cell[BoxData[
GraphicsBox[{{}, {},
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
1.], LineBox[CompressedData["
1:eJwlmXk41N/3wCdRKJoZe0lCSpYUCcV5E4rqY8m+J4mUpJKkkhZaCEUpe5F2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"]]}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{False, False}, {False, False}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
Method->{"DefaultBoundaryStyle" -> Automatic, "ScalingFunctions" -> None},
PlotRange->{{0, 6}, {-1.1880750934930338`, 1.1880745542856204`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
CellChangeTimes->{{3.6825431714899454`*^9, 3.682543193398198*^9}}]
}, Open ]],
Cell[BoxData[
RowBox[{
RowBox[{"f", "[", "x_", "]"}], ":=",
RowBox[{"1", "-",
FractionBox[
RowBox[{"10", " ", "x"}], "3"], "+",
FractionBox[
RowBox[{"3", " ",
SuperscriptBox["x", "2"]}], "2"], "-",
FractionBox[
SuperscriptBox["x", "3"], "6"]}]}]], "Input",
CellChangeTimes->{{3.682543261394088*^9, 3.682543272161703*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"f", "[", "2", "]"}]], "Input",
CellChangeTimes->{{3.682543274265824*^9, 3.682543299415262*^9}}],
Cell[BoxData[
RowBox[{"-", "1"}]], "Output",
CellChangeTimes->{{3.682543275995923*^9, 3.682543299783283*^9}}]
}, Open ]],
Cell[BoxData[
RowBox[{"Clear", "[", "f", "]"}]], "Input",
CellChangeTimes->{{3.6825443058048244`*^9, 3.6825443259639773`*^9}}],
Cell[BoxData[
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{
"--", "-"}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}\
]}]}]], "Input",
CellChangeTimes->{{3.6825447407267003`*^9, 3.6825447430018306`*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox[
RowBox[{"4", "x",
RowBox[{"(",
RowBox[{"x", "-", "2"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "4"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "5"}], ")"}]}],
RowBox[{"-", "3"}]]], "Input",
CellChangeTimes->{{3.682544651128576*^9, 3.68254468074327*^9}, {
3.6825447737725906`*^9, 3.682544782693101*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox["4", "3"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "5"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "2"}], "+", "x"}], ")"}], " ", "x"}]], "Output",
CellChangeTimes->{3.682544683628435*^9}]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Expand", "[",
RowBox[{
RowBox[{"-",
FractionBox["4", "3"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "5"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "2"}], "+", "x"}], ")"}], " ", "x"}], "]"}]], "Input",
NumberMarks->False],
Cell[BoxData[
RowBox[{
FractionBox[
RowBox[{"160", " ", "x"}], "3"], "-",
FractionBox[
RowBox[{"152", " ",
SuperscriptBox["x", "2"]}], "3"], "+",
FractionBox[
RowBox[{"44", " ",
SuperscriptBox["x", "3"]}], "3"], "-",
FractionBox[
RowBox[{"4", " ",
SuperscriptBox["x", "4"]}], "3"]}]], "Output",
CellChangeTimes->{3.682544696857191*^9}]
}, Open ]],
Cell[BoxData[
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{
"--", "--"}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]\
}]}]}]], "Input",
CellChangeTimes->{{3.6825447455579767`*^9, 3.682544749686213*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox[
RowBox[{"x",
RowBox[{"(",
RowBox[{"x", "-", "1"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "4"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "5"}], ")"}]}], "4"]], "Input",
CellChangeTimes->{{3.682544794549779*^9, 3.682544801273164*^9}}],
Cell[BoxData[
RowBox[{
FractionBox["1", "4"], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "5"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", "x"}]], "Output",
CellChangeTimes->{3.682544807248505*^9}]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Expand", "[",
RowBox[{
FractionBox["1", "4"], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "5"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "4"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", "x"}], "]"}]], "Input",
NumberMarks->False],
Cell[BoxData[
RowBox[{
RowBox[{
RowBox[{"-", "5"}], " ", "x"}], "+",
FractionBox[
RowBox[{"29", " ",
SuperscriptBox["x", "2"]}], "4"], "-",
FractionBox[
RowBox[{"5", " ",
SuperscriptBox["x", "3"]}], "2"], "+",
FractionBox[
SuperscriptBox["x", "4"], "4"]}]], "Output",
CellChangeTimes->{3.682544809721647*^9}]
}, Open ]],
Cell[BoxData[
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{
"--", "--"}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]],\
"Input",
CellChangeTimes->{{3.68254486048155*^9, 3.6825448625146666`*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
FractionBox[
RowBox[{"11", "x",
RowBox[{"(",
RowBox[{"x", "-", "1"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "2"}], ")"}],
RowBox[{"(",
RowBox[{"x", "-", "5"}], ")"}]}],
RowBox[{"-", "3"}]]], "Input",
CellChangeTimes->{{3.682544868115987*^9, 3.682544877629531*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"-",
FractionBox["11", "3"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "5"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "2"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", "x"}]], "Output",
CellChangeTimes->{3.6825448899842377`*^9}]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Expand", "[",
RowBox[{
RowBox[{"-",
FractionBox["11", "3"]}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "5"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "2"}], "+", "x"}], ")"}], " ",
RowBox[{"(",
RowBox[{
RowBox[{"-", "1"}], "+", "x"}], ")"}], " ", "x"}], "]"}]], "Input",
NumberMarks->False],
Cell[BoxData[
RowBox[{
FractionBox[
RowBox[{"110", " ", "x"}], "3"], "-",
FractionBox[
RowBox[{"187", " ",
SuperscriptBox["x", "2"]}], "3"], "+",
FractionBox[
RowBox[{"88", " ",
SuperscriptBox["x", "3"]}], "3"], "-",
FractionBox[
RowBox[{"11", " ",
SuperscriptBox["x", "4"]}], "3"]}]], "Output",
CellChangeTimes->{3.682544893221423*^9}]
}, Open ]],
Cell[BoxData[
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{"--",
RowBox[{
"--", "--"}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]}]],\
"Input",
CellChangeTimes->{{3.6825449352788286`*^9, 3.682544938670022*^9}}],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{
FractionBox[
RowBox[{"160", " ", "x"}], "3"], "-",
FractionBox[
RowBox[{"152", " ",
SuperscriptBox["x", "2"]}], "3"], "+",
FractionBox[
RowBox[{"44", " ",
SuperscriptBox["x", "3"]}], "3"], "-",
FractionBox[
RowBox[{"4", " ",
SuperscriptBox["x", "4"]}], "3"], "-",
RowBox[{"5", " ", "x"}], "+",
FractionBox[
RowBox[{"29", " ",
SuperscriptBox["x", "2"]}], "4"], "-",
FractionBox[
RowBox[{"5", " ",
SuperscriptBox["x", "3"]}], "2"], "+",
FractionBox[
SuperscriptBox["x", "4"], "4"], "+",
FractionBox[
RowBox[{"110", " ", "x"}], "3"], "-",
FractionBox[
RowBox[{"187", " ",
SuperscriptBox["x", "2"]}], "3"], "+",
FractionBox[
RowBox[{"88", " ",
SuperscriptBox["x", "3"]}], "3"], "-",
FractionBox[
RowBox[{"11", " ",
SuperscriptBox["x", "4"]}], "3"]}]], "Input",
CellChangeTimes->{{3.682544963297431*^9, 3.682544969383779*^9}}],
Cell[BoxData[
RowBox[{
RowBox[{"85", " ", "x"}], "-",
FractionBox[
RowBox[{"423", " ",
SuperscriptBox["x", "2"]}], "4"], "+",
FractionBox[
RowBox[{"83", " ",