Question

Factorise: $ax+bx-ay-by$

Answer 1

Find factors of $ax+bx-ay-by$

Take $x$ and $y$ common from the given equation

$ax+bx-ay-by$

$$\begin{gathered} =x\left(a+b\right)-y\left(a+b\right) \\ =\left(x-y\right)\left(a+b\right) \end{gathered}$$

Hence the answer is $\left(x-y\right)\left(a+b\right)$