Respuesta :

ANSWER

[tex](r-m)(x+y)[/tex]

EXPLANATION

We want to factorize the expression:

[tex]xr-ym+yr-xm[/tex]

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

[tex]xr+yr-xm-ym[/tex]

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

[tex]\begin{gathered} r(x+y)-m(x+y) \\ \\ (r-m)(x+y) \end{gathered}[/tex]

That is the factored expression.