CPM Homework Help : INT3 Problem 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.

Hint:

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

$x^{5} + 8x^{2}y^{3}$
Hint (a):
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 $8 = 2^{3}$ .

$8y^{6} – 125x^{3}$
Hint (b):
This is already in the form you need.
Use the difference of cubes to factor it.
What are the cubes?