### Home > A2C > Chapter 13 > Lesson 13.1.4 > Problem 13-75

13-75.

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.

*a*^{3} + *b*^{3}

See parts (a) and (b).

*x*^{3} − 8

See parts (a) and (b).

What did they all have in common?

Substitute values into the expression in either part (a) or part (d).