This document provides an example of using the binomial theorem to expand expressions involving multiplication of binomials. It shows the step-by-step expansion of (x2 + 2xy + y2)(x + y) by first multiplying (x2 + 2xy + y2) by (x + y) and then multiplying the result by (x + y) again. The final expanded expression is x3 + 3x2y + 3xy2 + y3.

1. Section 8-8
The Binomial Theorem

2. Warm-up
1. Multiply x2 + 2xy + y2 by x + y.
2. Multiply your answer to question 1 by x + y.

3. Warm-up
1. Multiply x2 + 2xy + y2 by x + y.
(x + 2xy + y )(x + y )
2 2
2. Multiply your answer to question 1 by x + y.

4. Warm-up
1. Multiply x2 + 2xy + y2 by x + y.
(x + 2xy + y )(x + y ) = x + 2x y + xy + x y + 2xy + y
2 2 3 2 2 2 2 3
2. Multiply your answer to question 1 by x + y.