### Home > AC > Chapter 16 > Lesson 16.9.1.1 > Problem9-14

9-14.

​ Factor.

1. $25-49x^2$

This is the difference of two perfect squares.

1. $x^4y^2+xy^5$

Factor out the greatest common factor. Then factor again since you have a binomial with two perfect cubes.

$xy^{2}(x^{3} + y^3)$

1. $(x-1)^{7/2}-(x-1)^{3/2}$

Factor out $(x−1)^{3/2}$.

$(x - 1)^{3/2}\left((x - 1)^{4/2} - 1\right)$