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

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. Homework Help ✎

*x*^{5}+ 8*x*^{2}*y*^{3}8

*y*^{6}– 125*x*^{3}

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

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}.

This is already in the form you need.

Use the difference of cubes to factor it.

What are the cubes?