(2x+4)(x-4) Multiply

Jasonbradley

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Jun 16, 2024

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Multiplying (2x+4)(x-4)

This article will guide you through the steps of multiplying the expression (2x+4)(x-4). We will use the FOIL method, which stands for First, Outer, Inner, Last.

FOIL Method

1. First: Multiply the first terms of each binomial: (2x) * (x) = 2x²
2. Outer: Multiply the outer terms of each binomial: (2x) * (-4) = -8x
3. Inner: Multiply the inner terms of each binomial: (4) * (x) = 4x
4. Last: Multiply the last terms of each binomial: (4) * (-4) = -16

Combining Like Terms

Now we have: 2x² - 8x + 4x - 16

Combine the like terms: 2x² - 4x - 16

Final Result

Therefore, the product of (2x+4)(x-4) is 2x² - 4x - 16.