Ejercicio 13 del libro de álgebra de Baldor
6
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
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Transcript of 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
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 =⋅=++=
+
+=
+⋅
⋅+⋅
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
( )( )( ) 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 ==
−=−⋅=−⋅=⋅−+⋅=
−⋅++
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
( )( )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
=−
=−=−=−−
=−
−−
−=
−−
−⋅⋅
−
