Ejercicio 64

Gestor Baldor

hace 7 años

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CAPITULO VI

PRODUCTOS Y COCIENTES NOTABLES

Escribir, por simple inspección, el resultado de:

( x+y ) ( x–y ) = x 2 – y 2
( m–n ) ( m+n ) = m 2 – n 2
( a–x ) ( x+a ) =( a–x ) ( a+x ) = a 2 – x 2
( x 2 + a 2 ) ( x 2 – a 2 ) = ( x 2 ) 2 – ( a 2 ) 2 = x 4 – a 4
( 2a–1 ) ( 1+2a ) =( 2a–1 ) ( 2a+1 ) = ( 2a ) 2 – ( 1 ) 2 =4 a 2 –1
( n–1 ) ( n+1 ) = n 2 –1
( 1–3ax ) ( 3ax+1 ) =( 1–3ax ) ( 1+3ax ) =1–9 a 2 x 2
( 2m+9 ) ( 2m–9 ) = ( 2m ) 2 – ( 9 ) 2 =4 m 2 –81
( a 3 – b 2 ) ( a 3 + b 2 ) = ( a 3 ) 2 – ( b 2 ) 2 = a 6 – b 4
( y 2 –3y ) ( y 2 +3y ) = ( y 2 ) 2 – ( 3y ) 2 = y 4 –9 y 2
( 1–8xy ) ( 8xy+1 ) =( 1–8xy ) ( 1+8xy ) = 1 2 – ( 8xy ) 2 =1–64 x 2 y 2
( 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
( a m + b n ) ( a m – b n ) = ( a m ) 2 – ( b n ) 2 = a 2m – b 2n
( 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
( 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