(x2+4x+4)-(x2-6x+9)

Jasonbradley

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Jun 17, 2024

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Simplifying the Expression: (x² + 4x + 4) - (x² - 6x + 9)

This expression involves subtracting two quadratic trinomials. Let's break down the process of simplifying it step-by-step.

1. Distributing the Negative Sign

First, we need to distribute the negative sign in front of the second set of parentheses. This means multiplying each term inside the parentheses by -1:

(x² + 4x + 4) - (x² - 6x + 9) = x² + 4x + 4 - x² + 6x - 9

2. Combining Like Terms

Now, we can combine the terms with the same variable and exponent:

x² - x² + 4x + 6x + 4 - 9

Simplifying further:

10x - 5

Final Result

Therefore, the simplified form of the expression (x² + 4x + 4) - (x² - 6x + 9) is 10x - 5.