Question

Factorize:
2x(p² + q²) + 4y(p² + q²)

Answer 1

We have:
$$\begin{gathered} 2x\left(p^2+q^2\right)+4y\left(p^2+q^2\right) \\ =2\left[x\left(p^2+q^2\right)+2y\left(p^2+q^2\right)\right] \\ =2\left(p^2+q^2\right)\left(x+2y\right) \end{gathered}$$