(x+9)(x-2) Answer Brainly

Jasonbradley

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Jun 17, 2024

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Expanding (x+9)(x-2)

The expression (x+9)(x-2) is a product of two binomials. To find the answer, we need to expand this expression using the FOIL method.

FOIL stands for First, Outer, Inner, Last. This method helps us multiply each term in the first binomial by each term in the second binomial systematically.

Here's how it works:

1. First: Multiply the first terms of each binomial: x * x = x²

2. Outer: Multiply the outer terms of the binomials: x * -2 = -2x

3. Inner: Multiply the inner terms of the binomials: 9 * x = 9x

4. Last: Multiply the last terms of each binomial: 9 * -2 = -18

Now, combine the results:

x² - 2x + 9x - 18

Finally, simplify by combining like terms:

x² + 7x - 18

Therefore, the expanded form of (x+9)(x-2) is x² + 7x - 18.