### Home > INT3 > Chapter 9 > Lesson 9.1.3 > Problem9-33

9-33.

Use the sum or difference of cubes and what you already know about factoring to factor the following expressions as completely as possible.

Refer to the Math Notes box in Lesson 8.3.4 for the patterns of sums and differences of cubes.

1. $x^{5} + 8x^{2}y^{3}$

Notice that $x^{2}$ is a common factor for both terms.
Factor it out. Then use the sum of cubes to factor it completely.
Recall that $8 = 2^{3}$.

1. $8y^{6} – 125x^{3}$

This is already in the form you need.
Use the difference of cubes to factor it.
What are the cubes?