ay-5by+5ax-25bx

Group the first two terms and the last two terms.

(ay-5by)+5ax-25bx

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

y(a-5b)+5x(a-5b)

y(a-5b)+5x(a-5b)

Factor the polynomial by factoring out the greatest common factor, a-5b.

(a-5b)(y+5x)

Factor by Grouping ay-5by+5ax-25bx