Bonjour,
Développer et réduire les expressions suivantes.
a) (x + 7)² + 2x + 4 = x²+7x+7x+49+2x+4= x²+16x+53
b) -3(x-4)² + 11 = -3(x²-4x-4x+16)+11= -3x²+24x-48+11= -3x²+24x-37
c) (2x - 5)(2x + 5)-(3x + 5)²= 4x²-10x+10x-25-(9x²+15x+15x+25)
= 4x²-25-9x²-30x-25= -5x²-30x-50
d) (x - 1)²(x+2)= (x+2)(x-1)(x-1)= (x+2)(x²-x-x+1)= (x+2)(x²-2x+1)
= x³-2x²+x+2x²-4x+2= x³-3x+2