### Home > A2C > Chapter 13 > Lesson 13.1.4 > Problem13-75

13-75.

Multiply the expressions in parts (a) through (d).

1. $\left(a + b\right)\left(a^{2} − ab + b^{2}\right)$

a3 + b3

1. $\left(x − 2\right)\left(x^{2} + 2x + 4\right)$

x3 − 8

1. $\left(y + 5\right)\left(y^{2} − 5y + 25\right)$

See parts (a) and (b).

1. $\left(x − y\right)\left(x^{2} + xy + y^{2}\right)$

See parts (a) and (b).

1. What did you notice about these products?

What did they all have in common?

2. Make up another multiplication problem that will follow the same pattern.

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