## Expanding (x+2)(x+4)

The expression (x+2)(x+4) represents the product of two binomials. To find the answer, we can use the **FOIL** method, which stands for **First, Outer, Inner, Last**.

Here's how it works:

**First:**Multiply the first terms of each binomial: x * x =**x²****Outer:**Multiply the outer terms of each binomial: x * 4 =**4x****Inner:**Multiply the inner terms of each binomial: 2 * x =**2x****Last:**Multiply the last terms of each binomial: 2 * 4 =**8**

Now, we combine all the terms:

x² + 4x + 2x + 8

Finally, simplify by combining like terms:

**x² + 6x + 8**

Therefore, the answer to (x+2)(x+4) is **x² + 6x + 8**.

## Understanding the FOIL Method

The FOIL method is a helpful visual aid for remembering how to expand binomials. It ensures that every term in one binomial is multiplied by every term in the other binomial, resulting in a complete and accurate product.

**Remember:** The FOIL method is just a shortcut for applying the distributive property of multiplication.