factorize
$a^{2} - 5 b + a b - 25$

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Solution

$\begin{matrix} a^{2} - 5 b + a b - 25 \Rightarrow a^{2} - 5^{2} + a b - 5 b \Rightarrow a^{2} - 5^{2} + b (a - 5) \Rightarrow (a - 5) (a + 5) + b (a - 5) \Rightarrow (a - 5) [a + 5 + b] \Rightarrow (a - 5) (a + b + 5) \end{matrix}$

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