Exercice 14: Factoriser les expressions suivantes : A=(8x+3)(2x-6)+(8x+3)(x+7) B = x(7x-6)-(7x-6)2 C =(x-4)(x-3)+(x-4) D= x(x-2)+(x-2)(x+2) Aider moi svppp

Bonsoir,

Factoriser les expressions suivantes :

A=(8x+3)(2x-6)+(8x+3)(x+7)

A = (8x + 3) (2x - 6 + x + 7)

A = (8x + 3) (3x + 1)

B = x(7x-6)-(7x-6))²

B = (7x - 6) (- 7x + x + 6)

B = (7x - 6) (- 6x + 6)

C =(x-4)(x-3)+(x-4)

C = (x - 4) (x - 2)

D= x(x-2)+(x-2)(x+2)

D = 2 (x - 2) (x + 1)

bonsoir

A=(8x+3)(2x-6)+(8x+3)(x+7)

= (  8 x + 3 ) ( 2 x - 6 + x + 7 )

= ( 8 x + 3 ) ( 3 x + 1)

B = x(7x-6)-(7x-6)2

=  ( 7 x - 6 )  ( x - 7 x + 6 )

= ( 7 x - 6 ) ( - 6 x + 6 )

= 6 ( 7 x - 6 ) (  - x + 1)

C =(x-4)(x-3)+(x-4)

= ( x - 4 ) ( x  - 3 + 1 )

=  ( x - 4 ) ( x - 2 )

D= x(x-2)+(x-2)(x+2)

= ( x - 2 ) ( x  + x  + 2 )

= ( x - 2 ) ( 2 x + 2 )

= 2 ( x - 2 ) ( x + 1 )