Question

B = (x +2)³-(x+2) (x+2)(x+1)-x

Answer 1

$B= (x +2)^3-(x+2) (x+2)(x+1)-x \\ \\ Separamos \ en\ t\'erminos\ y \ resolvemos \\ \\ \\ (x+2)^3 = x^3+6x^2+12x+8\to Cuatrinomio\ cubo \ perfecto \\ \\ \\ Distributiva\to (x+2) (x+2)(x+1)=(x^2+4x+4)(x+1)= \\ \\ x^3+x^2+4x^2+4x+4x+4= x^3+5x^2+8x+4 \\ \\ \\ \\ B=x^3+6x^2+12x+8-(x^3+5x^2+8x+4)-x \\ \\ B=x^3+6x^2+12x+8-x^3-5x^2-8x-4-x \\ \\ \boxed{B=x^2+3x+4 }$


Espero que te sirva, salu2!!!!