Multiplication

Sum and Difference Patterns

Examples

Example 1 Multiply the binomials & simplify.

(2x3 + 7)(2x3 - 7)

Step 1. Multiply.

(2x3)2 - 72

Step 2. Simplify & rewrite in standard form.

4x6 - 49

Example 2 Multiply the binomials & simplify.

(4x + 5y)(4x - 5y)

Step 1. Multiply.

(4x)2 - (5y)2

Step 2. Simplify & rewrite in standard form.

16x2 - 25y2