# How do you factor the expression a^2+ab-56b^2?

$\therefore$ the given expression can be factorized as follows
$\left(a - 7 b\right) \left(a + 8 b\right)$
we can factorize it as follows$:$ ${a}^{2} + a b - 56 {b}^{2} =$
${a}^{2} - 7 a b + 8 a b - 56 {b}^{2} \Rightarrow a \left(a - 7 b\right) + 8 b \left(a - 7 b\right) \Rightarrow \left(a - 7 b\right) \left(a + 8 b\right)$
$\therefore$ the given expression can be factorized as follows
$\left(a - 7 b\right) \left(a + 8 b\right)$