(x+4)(x+4) Foil Method

2 min read Jun 16, 2024

Using the FOIL Method to Expand (x + 4)(x + 4)

The FOIL method is a helpful acronym used to remember the steps for multiplying two binomials. FOIL stands for First, Outer, Inner, Last, which represents the order in which you multiply the terms of the binomials.

Let's apply the FOIL method to expand the expression (x + 4)(x + 4):

1. First: Multiply the first terms of each binomial.

x * x = x²

2. Outer: Multiply the outer terms of the binomials.

x * 4 = 4x

3. Inner: Multiply the inner terms of the binomials.

4 * x = 4x

4. Last: Multiply the last terms of each binomial.

4 * 4 = 16

Combining the Terms

Now, we add all the terms we got from the FOIL method:

x² + 4x + 4x + 16

Simplifying the Expression

Finally, combine the like terms:

x² + 8x + 16

Therefore, the expanded form of (x + 4)(x + 4) using the FOIL method is x² + 8x + 16.