Question

Factorise the following expression:xr – ym + yr – xm

Answer 1

ANSWER

$(r-m)(x+y)$

EXPLANATION

We want to factorize the expression:

$xr-ym+yr-xm$

First, we have to rearrange the expression to fit the common terms together:

$xr+yr-xm-ym$

Now, factorize by using the common terms in each group:

$\begin{gathered} r(x+y)-m(x+y) \\ \\ (r-m)(x+y) \end{gathered}$

That is the factored expression.