(5n-5)(2+2n)=

Jasonbradley

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Jun 16, 2024

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Expanding the Expression (5n-5)(2+2n)

This expression represents the product of two binomials. To simplify it, we can use the FOIL method (First, Outer, Inner, Last). This method helps us systematically multiply each term of the first binomial with each term of the second binomial.

Here's how it works:

1. First: Multiply the first terms of each binomial: (5n) * (2) = 10n

2. Outer: Multiply the outer terms of each binomial: (5n) * (2n) = 10n²

3. Inner: Multiply the inner terms of each binomial: (-5) * (2) = -10

4. Last: Multiply the last terms of each binomial: (-5) * (2n) = -10n

Now, combine all the terms:

10n + 10n² - 10 - 10n

5. Simplify by combining like terms:

10n² - 10

Therefore, the expanded form of (5n-5)(2+2n) is 10n² - 10.