(2m+1)(4m–4)

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (2m + 1)(4m - 4)

This expression represents the product of two binomials, (2m + 1) and (4m - 4). To simplify it, 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: (2m) * (4m) = 8m²
2. Outer: Multiply the outer terms of the binomials: (2m) * (-4) = -8m
3. Inner: Multiply the inner terms of the binomials: (1) * (4m) = 4m
4. Last: Multiply the last terms of each binomial: (1) * (-4) = -4

Now, we combine all the terms:

8m² - 8m + 4m - 4

Finally, we simplify by combining like terms:

8m² - 4m - 4

Therefore, the expanded form of (2m + 1)(4m - 4) is 8m² - 4m - 4.