## Expanding (x+4)(x+4)

The expression (x+4)(x+4) is a product of two binomials, and expanding it involves using the **FOIL method**.

**FOIL** stands for:

**F**irst: Multiply the first terms of each binomial.**O**uter: Multiply the outer terms of the binomials.**I**nner: Multiply the inner terms of the binomials.**L**ast: Multiply the last terms of each binomial.

Let's apply this to our expression:

**First:** x * x = **x²**

**Outer:** x * 4 = **4x**

**Inner:** 4 * x = **4x**

**Last:** 4 * 4 = **16**

Now, add all the terms together:

x² + 4x + 4x + 16

Combine like terms:

**x² + 8x + 16**

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

**Note:** Since (x+4)(x+4) is the same binomial multiplied by itself, it can also be written as **(x+4)²**.