(x+2)(x+7) Foil Method

2 min read Jun 16, 2024

Using the FOIL Method to Expand (x + 2)(x + 7)

The FOIL method is a helpful mnemonic device used to remember the steps for multiplying two binomials. FOIL stands for First, Outer, Inner, Last. Let's break down how to apply this method to expand the expression (x + 2)(x + 7).

1. First

Multiply the first terms of each binomial: x * x = x²

2. Outer

Multiply the outer terms of the binomials: x * 7 = 7x

3. Inner

Multiply the inner terms of the binomials: 2 * x = 2x

4. Last

Multiply the last terms of each binomial: 2 * 7 = 14

Combining the Terms

Now, add all the terms together:

x² + 7x + 2x + 14

Finally, combine like terms:

x² + 9x + 14

Therefore, the expanded form of (x + 2)(x + 7) is x² + 9x + 14.

Using the FOIL method is a simple and effective way to multiply binomials. Remember to multiply each term in the first binomial by each term in the second binomial, then combine the like terms!