(x+9)(x-2)-9x-6

Jasonbradley

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Jun 17, 2024

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Simplifying the Expression: (x+9)(x-2)-9x-6

This article will guide you through simplifying the expression (x+9)(x-2)-9x-6. We will use the distributive property and combining like terms to achieve a simplified form.

Step 1: Expand the product of the binomials

First, we need to expand the product of the two binomials using the distributive property:

(x+9)(x-2) = x(x-2) + 9(x-2)

Expanding further:

x(x-2) + 9(x-2) = x² - 2x + 9x - 18

Simplifying the terms:

x² - 2x + 9x - 18 = x² + 7x - 18

Step 2: Combine like terms

Now, our expression becomes:

x² + 7x - 18 - 9x - 6

Combining the x terms and the constant terms:

x² + (7x - 9x) + (-18 - 6)

Simplifying:

x² - 2x - 24

Final Answer

Therefore, the simplified form of the expression (x+9)(x-2)-9x-6 is x² - 2x - 24.