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Tarea 2 Ejercicio 13 Valor numérico de expresiones compuestas Hallar el valor numérico de las expresiones siguientes, para: 0 , 4 1 , 3 2 , 2 1 , 4 , 3 , 2 , 1 = = = = = = = = x p n m d c b a 1 = - + d c b a ) ( 2 = - + ) )( ( a b b a 3 = + - - 2 4 ) )( ( a n c m b 4 = + + ) 4 )( 3 2 ( 2 b p n m 5 = - + + ) 6 )( )( 8 4 ( 2 2 d n b a p m 6 = - - - - ) )( )( )( ( p m a b c d b c 7 = + + - + x n m a d c b 2 ) ( ) ( 2 2 8 = - + + 2 2 2 4 ) ( 6 2 d c b mx 9 = + a b p n m 16 9 8 10 = - + + ) ( a c b c d a m x 11 = + ÷ + 2 2 2 ) ( 4 c b a a p m 12 = + - + + + ) 20 9 )( 4 6 8 )( 4 3 2 ( p n m n p p n m 13 = + + + - + ) ( ) ( ) ( 2 2 2 p n b p m d n m c 14 = ÷ + m d a d c 2 2 2 15 = + + + - + ) 40 )( 2 8 ( 2 ) 24 18 )( 2 4 ( a p m p n b p 16 = + × - + 2 2 2 5 p m b d b d a 17 = - + + 2 2 8 ) ( n m b c b a

Ejercicio 13 del libro de álgebra de Baldor

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Tareas para los alumnos de la Escuela Preparatoria Lázaro Cárdenas de la UMSNH, en Uruapan, Michoacán México

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Page 1: Ejercicio 13 del libro de álgebra de Baldor

Tarea 2 Ejercicio 13Valor numérico de expresiones compuestas

Hallar el valor numérico de las expresiones siguientes, para:

0,41,

32,

21,4,3,2,1 ======== xpnmdcba

1 =−+ dcba )(

2 =−+ ))(( abba

3 =+−− 24))(( ancmb

4 =++ )4)(32( 2bpnm

5 =−++ )6)()(84( 22 dnbapm

6 =−−−− ))()()(( pmabcdbc

7 =++−+ xnmadcb 2)()( 22

8 =−++ 222 4)(62 dcbmx

9 =

+ a

bp

nm 16

98

10 =−++ )( acb cdamx

11 =+

÷+

2

22)(4c

baa

pm

12 =+−+++ )209)(468)(432( pnmnppnm

13 =+++−+ )()()( 222 pnbpmdnmc

14 =

÷

+ mda

dc 222

15 =+++−+ )40)(28(2)2418)(24( apmpnbp

16 =+

×−

+2

225

pm

bdbda

17 =−++ 22 8)( nmbcba

Page 2: Ejercicio 13 del libro de álgebra de Baldor

18 =+÷

+

+ pdcb

nca )(62

19 =−−−−n

padmbc 216)(232)(3

20 =−−

+abc

cdnpab

mnb

abc)(2

382

6

21 =+++−+ )32)((322

22

babaabba

22 =

++

+

++

22 111111

mncbbab

23 =−++ 224)24)(32( nmcpnm

24 =−

−−

mbn

mab

cb

23

2

RESPUESTAS

1 =−+ dcba )(( ) 5494334321 =−=−⋅=−+

2 =−+ ))(( abba313)12)(21( =⋅=−+

3 =+−− 24))(( ancmb

217

215

2874

274

6214

37

234

329

21414

323

212 2 ==

+=+=+=+

=+

=⋅+

4 =++ )4)(32( 2bpnm

( )( ) 15534121444

36

222

414

323

212 2 =⋅=++=

+

+=

+⋅

⋅+⋅

Page 3: Ejercicio 13 del libro de álgebra de Baldor

5 =−++ )6)()(84( 22 dnbapm

( ) ( ) ( )( )( ) 00544452243

124148

244

32621

418

214 22 =⋅⋅=−+=

−+

+=

−⋅+

⋅+⋅

6 =−−−− ))()()(( pmabcdbc

( )( )( )41

412111

41

21123423 =

⋅⋅⋅=

−−−−

7 =++−+ xnmadcb 2)()( 22

( )6526

6161

67168

6728

64317402

32

211432 22 ==

−=−=

+

−⋅=⋅+

+−+

8 =−++ 222 4)(62 dcbmx

( ) ( ) 14647864136164946443260212 222 =−=−⋅=⋅−+=⋅−++⋅⋅

9 =

+ a

bp

nm 16

98

322

38

3622

32

24

64

24

16

31828

12

4116

329218

==+

=+=

+=

+=⋅

⋅+

10 =−++ )( acb cdamx

( ) 312

6262213641

21)341(

210 132 ==⋅=−+=−++

11 =+

÷+

2

22)(4c

baa

pm

525

527

20108

59

412

95

412

95

434

941

4124

321

141

214

2

22

===⋅=÷=÷⋅=+

÷

+

=+

÷

+

12 =+−+++ )209)(468)(432( pnmnppnm

Page 4: Ejercicio 13 del libro de álgebra de Baldor

( )( )( ) 176114456242121420

318

24

312

48

44

36

22

4120

329

214

326

418

414

323

212

=⋅⋅=+−+++

=

+

−+

++=

⋅+⋅

⋅−⋅+⋅

⋅+⋅+⋅

13 =+++−+ )()()( 222 pnbpmdnmc

612

1222

1226

1244144126

124412

221

1244

448

663

12114

4316

679

12384

41216

6439

41

322

41

214

32

213 222

===+−

=+−=+−

=+⋅−⋅=

+

+

+

+

=

++

+−

+

14 =

÷

+ mda

dc 222

212

25

215

211

125

21

22

1169

21

42

143 22

==⋅=⋅

÷=⋅

÷

+=⋅

÷

+

15 =+++−+ )40)(28(2)2418)(24( apmpnbp

( )( ) ( )( )

( )( ) ( )( ) 1621323066230116265

1102426124114402

282

424

3364

44

141402

2182

4124

321822

414

=+=⋅+=+

=+++−+=

+

++

+

=

+

+⋅+

⋅−⋅

⋅+⋅

16 =+

×−

+2

225

pm

bdbda

3122

62420823

61

1323

61

8523

61

4125

221

41

2125

24241

2

2

==⋅=×=+

×=

+

×+

=

+

×−

+

17 =−++ 22 8)( nmbcba

3214

344

3145

3153

63253

32

211693

32

21283)21(

22 ==

−=−⋅=−⋅=⋅−+⋅=

−⋅++

Page 5: Ejercicio 13 del libro de álgebra de Baldor

18 =+÷

+

+ pdcb

nca )(62

( )74

272

2711

27

22

22

217

23

12

24

41)43(

2326

231

=÷=÷+=÷

+=⋅÷

+=+÷

++

19 =−−−−n

padmbc 216)(232)(3

( )

315123121232643

34616326

41632

23213

322

4116)14(2

2132233

−=−=−−=−⋅−⋅

=−⋅−⋅=−⋅⋅−⋅⋅=−⋅−−⋅−

20 =−−

+abc

cdnpab

mnb

abc)(2

382

6

1211

2422

24830

2481218

31

21

86

62

21

426

61224

)1(266

16236

32141

3243

)12(232

213

2823216

==−

=−+

=−+

=−+⋅

=−+=⋅⋅

⋅⋅⋅−

⋅⋅+

⋅⋅⋅⋅

21 =+++−+ )32)((322

22

babaabba

3273

3221

3216572

35833

35)62(33

1441)2312)(21(3

1221

22

22

==+

=+=⋅⋅+=+⋅+−+

=⋅+⋅++−+

22 =

++

+

++

22 111111

mncbbab

217

235

470

449516

249

454

27

12154

243

65

234

12

23

623

2124

211

321

31

21

21

112

22

2

2

2

===++

=++=

+

+=

+

+

+

=

++

+

+

+=

++

+

++

23 =−++ 224)24)(32( nmcpnm

Page 6: Ejercicio 13 del libro de álgebra de Baldor

( )( )9520

9185

94189

9421

9473

36166121

94

4146

44

36

22

32

21432

414

323

212

22

==−

=−=−⋅=−++=⋅⋅−

+

+

=

⋅−

⋅+⋅

⋅+⋅

24 =−

−−

mbn

mab

cb

23

2

6326

632854

94

76

94

273

2332

218

3

214

32

214

14

212

32

21212

3322

=−

=−=−=−−

=−

−−

−=

−−

−⋅⋅