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PRELIMINARES

Valor numérico de expresiones compuestas
Ejercicio 12
Para este grupo de ejercicios se debe reemplazar cada letra por su respectivo valor numérico y realizar las operaciones aritméticas correspondientes
Hallar, el valor numérico de las expresiones siguientes para: a=3, b=4, c= 1 3 , d= 1 2 , m=6, n= 1 4
  1. a 2 2ab+ b 2 = 3 2 2( 3 ) ( 4 ) + 4 2 =924+16=1
  2. c 2 +2cd+ d 2 = ( 1 3 ) 2 + 2 ( 1 3 ) ( 1 2 ) + ( 1 2 ) 2 = 1 9 + 1 3 + 1 4 = 4+12+9 36 = 25 36
  3. a c + b d = 3 1 3 + 4 1 2 =9+8=17
  4. c d m n +2= 1 3 1 2 6 1 4 +2= 2 3 24+2= 2 3 22= 266 3 = 64 3 21 1 3
  5. a 2 3 b 2 2 + m 2 6 = 3 3 3 4 2 2 + 6 2 6 =3 2 2 +6=38+6=1
  6. 3 5 c 1 2 b+2d= 3 5 ( 1 3 ) 1 2 + 2 ( 1 2 ) = 1 5 2+1= 1 5 1= 15 5 = 4 5
  7. ab n + ac d bd m = 3( 4 ) 1 4 + 3 ( 1 3 ) 1 2 ( 1 2 ) 6 = 12 1 4 + 1 1 2 2 =48+2 1 3 =50 1 3 = 1501 3 = 149 3 49 2 3
  8. b + n + 6m = 4 + 1 4 + 6( 6 ) = 2 2 + 1 2 2 + 6 2 =2+ 1 2 +6=8+ 1 2 = 16+1 2 = 17 2 8 1 2
  9. c 3a d 16 b 2 +n 8d = 1 3 3( 3 ) 1 2 4 2 (4 ) 2 + 1 4 2 . 2 2 ( 1 2 ) = 3 3 2 + 1 (2 ) =18+ 1 2 = 1 2 7= 114 2 = 13 2 6 1 2
  10. m a d b = 6 3 ( 1 2 ) 4 = 216 1 16 =216( 16 ) =3456
  11. 3 c 2 4 + 4 n 2 m = 3 1 3 2 4 + 4 1 4 2 6 = 1 12 + 1 24 = 2+1 24 = 3 = 1 8
  12. 4 d 2 2 + 16 n 2 2 1= 4 ( 1 2 2 ) 2 + 16 ( 1 4 2 ) 2 1=1=0
  13. a+b c b+m d = 3+4 1 3 4+6 1 2 = 7 1 3 10 1 2 =2120=1
  14. ba n + mb d +5a= 43 1 4 + 64 1 2 +5( 3 ) = 1 1 4 + 2 1 2 +15=4+4+15=23
  15. 12ca 2b 16na m + 1 d = ( 1 3 ) 3 2( 4 ) ( 1 4 ) 3 6 + 1 1 2 = 1 8 1 6 +2= 34+48 24 = 47 24 1 23 24
  16. 4b + 3a 3 6m 6 = 4( 4 ) + 3( 3 ) 3 6( 6 ) 6 = 4 2 + 3 2 3 6 2 6 =4+ 3 3 6 6 =4+11=4
  17. b + 2d 2 3c + 8d 4 = 4 + 2 ( 1 2 ) 2 3 ( 1 3 ) + ( 1 2 ) 4 = 2+1 2 1+2 4 = 3 2 3 4 = 63 4 = 3 4
  18. 2 a 2 b 2 3 + 3 2+ d 2 4 a n = 2 (3 ) 2 (4 ) 2 3 + 3 2+ ( 1 2 ) 2 4 3 1 4 = 2 ( 3 )( 4 ) 3 + 3 2+ 1 4 4 3( 1 2 ) = 8+ 3 8+1 4 4 3 2 = 163 2 + 3 9 4 4 = 13 2 + 3( 3 2 ) 4 = 13 2 + 9 8 = 52+9 8 = 61 8 7 5 8