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CAPITULO VI

PRODUCTOS Y COCIENTES NOTABLES
Ejercicio 64
Escribir, por simple inspección, el resultado de:
  1. (x+y ) (xy ) = x 2 y 2
  2. (mn ) (m+n ) = m 2 n 2
  3. (ax ) (x+a ) =(ax ) (a+x ) = a 2 x 2
  4. ( x 2 + a 2 ) ( x 2 a 2 ) = ( x 2 ) 2 ( a 2 ) 2 = x 4 a 4
  5. (2a1 ) (1+2a ) =(2a1 ) (2a+1 ) = (2a ) 2 ( 1 ) 2 =4 a 2 1
  6. (n1 ) (n+1 ) = n 2 1
  7. (13ax ) (3ax+1 ) =(13ax ) (1+3ax ) =19 a 2 x 2
  8. (2m+9 ) (2m9 ) = (2m ) 2 ( 9 ) 2 =4 m 2 81
  9. ( a 3 b 2 ) ( a 3 + b 2 ) = ( a 3 ) 2 ( b 2 ) 2 = a 6 b 4
  10. ( y 2 3y ) ( y 2 +3y ) = ( y 2 ) 2 (3y ) 2 = y 4 9 y 2
  11. (18xy ) (8xy+1 ) =(18xy ) (1+8xy ) = 1 2 (8xy ) 2 =164 x 2 y 2
  12. (6 x 2 m 2 x ) (6 x 2 + m 2 x ) = (6 x 2 ) 2 ( m 2 x ) 2 =36 x 4 m 4 x 2
  13. ( a m + b n ) ( a m b n ) = ( a m ) 2 ( b n ) 2 = a 2m b 2n
  14. (3 x a 5 y m ) (5 y m +3 x a ) =(3 x a 5 y m ) (3 x a +5 y m ) = (3 x a ) 2 (5 y m ) 2 =9 x 2a 25 y 2m
  15. ( a x+1 2 b x1 ) (2 b x1 + a x+1 ) =( a x+1 2 b x1 ) ( a x+1 +2 b x1 ) = ( a x+1 ) 2 (2 b x1 ) 2 = a 2x+2 4 b 2x2