### Home > PC3 > Chapter 8 > Lesson 8.1.1 > Problem8-10

8-10.

Factor each of the following expressions.

1. $x^3-xy^2$

Factor an '$x$' out first. Then factor again.

1. $x^3+xy^2$

Factor an '$x$' out first. Can you factor again?

You cannot factor again. This is NOT a difference of two squares.

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

Change the square root part of the first term to exponential notation.$4x^{2}(x^{2}+y^{2})^{1/2}-4(x^{2}+y^{2})^{3/2}$