### Home > CCA2 > Chapter 12 > Lesson 12.1.4 > Problem 12-72

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 will follow the same pattern.

Use a generic rectangle to help you. Pay attention to the negative sign.

*a*³ + *b*³

Use the same method as part (a).

Use the same method as part (a).

*x*³ − 8

Use the same method as part (b).

Look at your final answers. How many terms are there? And what is the largest exponent?

The first factor is a binomial. The second factor is a trinomial. Look for a pattern in the terms of the trinomial. Match the sign pattern in one of the problems. Use a generic rectangle to multiply your factors to be sure you have the pattern.