Développer et réduire les expressions suivantes. A = (8x + 8) (8x - 8) B = (5x - 62 C = (3x +9) D = (x + 10 (9x - 10) E = -(9x - 4)2 + (3x + 4) F = (x + 7)(-2x

Réponse :

bonjour

Explications étape par étape :

EXERCICE 1

A=(8x+8)(8x-8)

=64x²-64x+64x-64

=64x²-64

B=(5x-6)²

=25x²-30x-30x+36

=25x²-60x+36

C=(3x+9)²

=9x²+27x+27x+81

=9x²+54x+81

D=(x+10)(9x-10)

=9x²-10x+90x-100

=9x²+80x-100x

E=-(9x-4)²+(3x+4)

=-(81x²-36x-36x+16)+3x+4

=-81x²+72x-16+3x+4

=-81x²+75x-12

F=(x+7)(-2x-5)+(6x-2)(6x+2)

= -2x²-5x-14x-35+36x²-4

=34x²-19x-39

EXERCICE 2

A=(10x-7)(10x-7)

=100x²-70x-70x-49

=100x²-140x-49

B=(6x-8)²

=36x²-48x-48x+64

=36x²-96x+64

C=(x+6)²

=x²+6x+6x+36

=x²+12x+36

D=(-10x+5)(-7x-9)

=70x²+90x-35x-45

=70x²+55x-45

E= -(-7x+90)(6x+3)-(5x+10)

=-(-42x²-21x+540x+270)-5x-10

=42x²+21x-540x-270-5x-10

=42x²-524x-280

F=-(3x+10)(3x-10)+(2x-9)²

=-(9x²-100)+4x²-18x-18x+81

=-9x²+100+4x²-36x+81

=-5x²+181-36x

bonne journée