(x+2)(x+4) Answer

Jasonbradley

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Jun 16, 2024

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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:

1. First: Multiply the first terms of each binomial: x * x = x²
2. Outer: Multiply the outer terms of each binomial: x * 4 = 4x
3. Inner: Multiply the inner terms of each binomial: 2 * x = 2x
4. 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.