Factor by Grouping xm+ym+xn+yn

$x m + y m + x n + y n$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(x m + y m) + x n + y n$

Factor out the greatest common factor (GCF) from each group.

$m (x + y) + n (x + y)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $x + y$ .

$(x + y) (m + n)$