### Home > INT3 > Chapter 8 > Lesson 8.3.3 > Problem 8-135

8-135.

Multiply the expressions in parts (a) through (d). Homework Help ✎

(

*a*+*b*)(*a*^{2}–*ab*+*b*^{2})(

*x*– 2)(*x*^{2}+ 2*x*+ 4)(

*y*+ 5)(*y*^{2}– 5*y*+ 25)(

*x*–*y*)(*x*^{2}+*xy*+*y*^{2})What did you notice about these products?

Make up another multiplication problem that follows the same pattern.

Use the Distributive Property to expand the expression.

Notice that this is the same problem from part (a), except instead of *a* it has *x* and instead of *b* it has −2.

*x*^{3} − 8

See part (b).

*y*^{3} + 125

See part (b).