Question: Factorize:
$2 x\left(p^{2}+q^{2}\right)+4 y\left(p^{2}+q^{2}\right)$
Solution:
We have:
$2 x\left(p^{2}+q^{2}\right)+4 y\left(p^{2}+q^{2}\right)$
$=2\left[x\left(p^{2}+q^{2}\right)+2 y\left(p^{2}+q^{2}\right)\right]$
$=2\left(p^{2}+q^{2}\right)(x+2 y)$
