Question

Factorize : (x² + 2x)² – 3(x² + 2x) – y(x² + 2x) + 3y.​

Answer 1

$\rm{\left(x^2+2x\right)^2-3\left(x^2+2x\right)-y\left(x^2+2x\right)+3y}$

$\rm{=\left(x^2+2x\right)\left(x-1\right)\left(x+3\right)-y\left(x-1\right)\left(x+3\right)}$

$\rm{=\left(-1+x\right)\left(3+x\right)\left(x^2+2x\right)-\left(-1+x\right)\left(3+x\right)y}$

$\rm{=\left(-1+x\right)\left(3+x\right)\left(x^2+2x-y\right)}$