(3b-4a)(3b-4a) Answer

Jasonbradley

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Jun 16, 2024

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Expanding (3b-4a)(3b-4a)

The expression (3b-4a)(3b-4a) represents the product of two identical binomials. We can expand this using the FOIL method (First, Outer, Inner, Last).

Here's how it works:

1. First: Multiply the first terms of each binomial: (3b) * (3b) = 9b²

2. Outer: Multiply the outer terms of each binomial: (3b) * (-4a) = -12ab

3. Inner: Multiply the inner terms of each binomial: (-4a) * (3b) = -12ab

4. Last: Multiply the last terms of each binomial: (-4a) * (-4a) = 16a²

5. Combine: Add all the resulting terms together: 9b² - 12ab - 12ab + 16a²

6. Simplify: Combine like terms: 9b² - 24ab + 16a²

Therefore, the expanded form of (3b-4a)(3b-4a) is 9b² - 24ab + 16a².