Question

Factorize (x2 + 2 x)2 -3(x2 + 2x) - y ( x2 + 2x) + 3y​

Answer 1

Step-by-step explanation:

19 is the correct answer

Answer 2

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

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

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

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