Comparte esto 👍👍
DESCARGA
CAPITULO VI

PRODUCTOS Y COCIENTES NOTABLES
Ejercicio 64
Escribir, por simple inspección, el resultado de:
  1. (x+y ) (x–y ) = x 2 – y 2
  2. (m–n ) (m+n ) = m 2 – n 2
  3. (a–x ) (x+a ) =(a–x ) (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. (2a–1 ) (1+2a ) =(2a–1 ) (2a+1 ) = (2a ) 2 – ( 1 ) 2 =4 a 2 –1
  6. (n–1 ) (n+1 ) = n 2 –1
  7. (1–3ax ) (3ax+1 ) =(1–3ax ) (1+3ax ) =1–9 a 2 x 2
  8. (2m+9 ) (2m–9 ) = (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. (1–8xy ) (8xy+1 ) =(1–8xy ) (1+8xy ) = 1 2 – (8xy ) 2 =1–64 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 x–1 ) (2 b x–1 + a x+1 ) =( a x+1 –2 b x–1 ) ( a x+1 +2 b x–1 ) = ( a x+1 ) 2 – (2 b x–1 ) 2 = a 2x+2 –4 b 2x–2
Categories: Capítulo VI