Factorize
$p^{2} + 3 p y - 40 y^{2}$

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Solution

We have,
$p^{2} + 3 p y - 40 y^{2}$
$\Rightarrow p^{2} + 8 p y - 5 p y - 40 y^{2}$
$\Rightarrow p (p + 8 y) - 5 y (p + 8 y)$
$\Rightarrow (p + 8 y) (p - 5 y)$

Hence, this is the answer.

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