Answered

Bonsoir, je voudrais factoriser les expressions : B = 3(x+2)+(x+1)(x+2) et B= 2(3x+1+2(3x+1)(3x-1).
Et développer et réduire les expressions : C = 2(x-4)(x-3) et C = 3(x-2)(1+x) svp, merci d'avance

Sagot :

Bonsoir,

B = 3(x+2)+(x+1)(x+2) = (x+2)(3+x+1) = (x+2)(x+4)

B = 2(3x+1)+2(3x+1)(3x-1) = 2(3x+1)(1+3x-1) = 2(3x+1)*3x = 6x(3x+1)

C = 2(x-4)(x-3) = 2(x²-3x-4x+12) = 2(x²-7x+12) = 2x²-14x+24

C = 3(x-2)(1+x) = 3(x+x²-2-2x) = 3(x²-x-2) = 3x²-3x-6