Tarea 4 Ejercicio 26Resta de polinomios con coeficientes fraccionarios

Efectuar las restas siguientes y hallar el valor numérico del resultado, para:

52,

23,5,4,3,2,1 ======= nmyxcba

1 De aba −2 restar 23 bab +

2 De 33 ba + restar 322 265 babba −+−

3 De a21 restar acb +−

35

21

4 De 22 53 nm − restar 22 108 nmnm ++

5 De 4224 1518 yyxx +− restar 433 9616 yxyyx +−−

6 De 323 7 mama +− restar 322 585 mmaam −+−

7 De 22

51

87

32 baba −+ restar 22

101

61 baba −+

8 De 322

21

43

32 nmnnm −+ restar 3223

21

41

61 nmnnmm −−−−

9 Restar 3324 5 baba − de 5425 3 bbaa +−

10 Restar ab15 de mxmnab 810 −+−

11 Restar 22 911 abba − de 3a

12 Restar83

65

32 2 −+ xx de 4

641 x

13 Restar 323

251

53

43 yxyx −− de 223

52

163 xyyxx −+

14 Restar 231 9 −−− +− xxx aaa de 231

65

52 −−− +−+ xxxx aaaa

RESPUESTAS

1 De aba −2 restar 23 bab +

22

2

2

4

3

baba

bababa

−−

−−

−

11121

481221414 2222

−=−=

−−=−⋅⋅−=−− baba

2 De 33 ba + restar 322 265 babba −+−

2233

223

33

653

652

abbaba

abbabba

−++

−+

+

112435

2424101834162151

232162151365 32233223

=−=

+−+=⋅+⋅⋅−⋅⋅+=

⋅+⋅⋅−⋅⋅+=+−+ babbaa

3 De a21 restar acb +−

35

21

cba

cba

cba

a

35

21

21

35

21

221

35

21

21

+−−

+−−

+−−

( ) ( ) ( )

27

2103

21021

5121

315

22

21

3352

211

21

35

21

21

=

+−=

+−−=

+−−=

+−−=

+−−=+−− cba

213=

4 De 22 53 nm − restar 22 108 nmnm ++

mnnm

mnnmnm

8152

81053

22

22

22

−−

−−−

−

1027

107245

10482445

524

512

29

1048

2560

418

1068

25415

492

52

238

5215

2328152

2222

−=

−=

−−=

−−=−−=

−

−

=

−

−

=−− mnnm

1072−=

5 De 4224 1518 yyxx +− restar 433 9616 yxyyx +−−

432234

433

4224

661816

96161518

yxyyxyxx

yxyyxyyxx

++−+

−+

+− ( ) ( ) ( ) ( ) ( ) ( )( ) ( )( )( ) ( )( ) ( )( ) ( )

49263750300072005120256

6256125462516185641625656546541854164

661816432234

432234

=++−+=

++−+=++−+=

++−+= yxyyxyxx

926,4=

6 De 323 7 mama +− restar 322 585 mmaam −+−

3223

322

323

682

5857

mmaama

mmaammama

+−−

+−

+−

( ) ( ) ( )

419

46685

48148184

48112

291

8162

224

4181

8276

238

4921

236

2318

23121682

32

233223

=−

=+−−

=

+−−=+−−=

+

−

−=

+

−

−=+−− mmaama

434=

7 De 22

51

87

32 baba −+ restar 22

101

61 baba −+

22

22

22

22

101

81

63

1012

887

614

101

61

51

87

32

baba

baba

baba

baba

−−

+−+

−+

−

+−−

−+ ( ) ( )( ) ( )

203

201310

208510

52

41

21

104

82

63

41012

811

63

210121

811

63

101

81

63 2222

−=

−=

−−=

−−=−−=

⋅−⋅−⋅=

−−=−− baba

203

−=

8 De 322

21

43

32 nmnnm −+ restar 3223

21

41

61 nmnnmm −−−−

223

3322

3322

3322

322

65

21

44

65

21

413

614

21

41

61

21

43

32

mnnmm

mnmnnm

mnmnnm

mnmnnm

nmnnm

++

+++

+++

++

+++

−+

200873

200481506755012

12090

827

254

23

52

49

65

827

52

23

52

23

65

23

65 223

223

=++

=

++=

+

+

=

+

+

=++ mnnmm

200873

=

9 Restar 3324 5 baba − de 5425 3 bbaa +−

54233245

3324

5425

35

53

bbababaa

bababbaa

+−+−

+−

+−

215273

32484041321613815411

221321521135

54233245

54233245

=−=

+−+−=+⋅⋅−⋅⋅+⋅−=

+⋅⋅−⋅⋅+⋅−=

+−+− bbababaa

21=

10 Restar ab15 de mxmnab 810 −+−

mxmnab

abmxmnab

81016

15810

−+−

−−+−

7448632

296

106032

4238

52

23102116

81016

−=−+−=

−+−=

⋅⋅−⋅⋅+⋅⋅−=

=−+− mxmnab

74−=

11 Restar 322 911 babba −− de 3a

3223

322

3

911

911

babbaa

babbaa

++−

++−

73037

836221841921111

221921111911

3223

3223

=−=

++−=+⋅⋅+⋅⋅−=

+⋅⋅+⋅⋅−=

=++− babbaa

7=

12 Restar83

65

32 2 −+ xx de 4

641 x

83

65

32

641

83

65

32

641

24

2

4

+−−

−+

xxx

xx

x

85

24

24

9877

24231

2498025696

83

620

3324

83

620

332

64256

834

6516

32256

641

834

654

324

641

83

65

32

641

−=

−=−

=+−−

=

+−−=

+−−=

+⋅−⋅−⋅=

+⋅−⋅−⋅=

=+−− xxx

859−=

13 Restar 323

251

53

43 yxyx −− de 223

52

163 xyyxx −+

3223

3223

323

223

251

51

163

41

251

532

163

434

251

53

43

52

163

yxyyxx

yxyyxx

yxyx

xyyxx

+++

++−

++−

++−

−+

565201516

25125

5100

16240

464

125251254

51516

16364

41

525154

5154

1634

41

251

51

163

41

3223

3223

=+++=

+++=

⋅+⋅⋅+⋅⋅+⋅=

⋅+⋅⋅+⋅⋅+⋅=

+++ yxyyxx

56=

14 Restar 231 9 −−− +− xxx aaa de 231

65

52 −−− +−+ xxxx aaaa

31

31

321

321

649

53

6545

552

965

52

−−

−−

−−−

−−−

+−

+−+

−+

+−−

−++

xxx

xxx

xxx

xxxx

aaa

aaa

aaa

aaaa

3017

134

34144

31

830257

3018275

302451830

649

531

16

491531

16491

531

16491

531

649

53

==

−=

+−=

+−=

⋅+⋅−=

⋅+⋅−=

⋅+⋅−=

+−

−−

−− xxx aaa

30178=