Question

Factor this expression completely.

mr + ns - nr - ms

Answer 1

Greetings!


`mr+ns-nr-ms`
Rearrange.

`mr-nr-ms+ns`
Factor by grouping.

`r(m-n)+s(-m+n)`
Multiply the expression by -1.

`r(m-n)-1(+s(-m+n))`
Simplify.

`r(m-n)-s(m-n)`
Find the GCF.

`(m-n)(r-s)`

Hope this helps.
-Benjamin