Question

Descompuneti in factori expresia: $(x+2)^{3} -4(x+2)$

Answer 1

$\it (x+2)^3-4(x+2)=(x+2)[(x+2)^2-4]=(x+2)[(x+2)^2-2^2]=\\ \\ =(x+2)(x+2-2)(x+2+2)=(x+2)\cdot x\cdot(x+4)=x(x+2)(x+4)$