Factoriser au maximum ces expressions algébriques : [tex]A= (4x-3) (-x+5) + (x-1) (x-5) + (2x-5) (-x+5)[/tex] [tex]B= 6(x^2-16)-(3x+1) (x-4) + (8-2x) (x+2)[/tex

A= (4x-3) (-x+5) + (x-1) (x-5) + (2x-5) (-x+5)
= (4x-3) (-x+5) - (x-1) (-x+5) + (2x-5) (-x+5)
= (-x+5) (4x-3-x+1+2x-5)
= (-x+5) (5x-7)

B= 6(x²-16)-(3x+1) (x-4) + (8-2x) (x+2)
= 6 (x-4) (x+4) - (3x+1) (x-4) - 2 (x-4) (x+2)
= (x-4) (x+19)

A= (4x-3) (-x+5)- (x-1) (-x+5) + (2x-5) (-x+5)
A= (-x+5) (4x-3-x+1+2x-5)
A= (-x+5) (5x-7)


B= 6 (x-4) (x+4) - (3x+1) (x-4) - 2 (x-4) (x+2)
B= (x-4) (x+19)

on doit toujours cherchez "facteur commun"