Question

descompuneti in factori: a) x(x+1)²+(x+1)²

Answer 1

$x(x+1)^2+(x+1)^2=(x+1)^2(x+1)= (x^{2} +2x+1)(x+1)= x^{3} +\\+ x^{2} +2 x^{2} +2x+x+1= x^{3}+3 x^{2} +3x+1=(x+1)^3$