(-3x^2+5x-2)-2(x^2-2x-1)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (-3x^2+5x-2)-2(x^2-2x-1)

In this article, we will simplify the expression (-3x^2+5x-2)-2(x^2-2x-1). This expression involves combining like terms and distributing a constant.

Step 1: Distribute the -2

First, we distribute the -2 to each term inside the parentheses:

-2(x^2 - 2x - 1) = -2x^2 + 4x + 2

Now our expression becomes:

(-3x^2 + 5x - 2) + (-2x^2 + 4x + 2)

Step 2: Combine Like Terms

Next, we combine the terms with the same variable and exponent.

-3x^2 - 2x^2 = -5x^2 5x + 4x = 9x -2 + 2 = 0

Step 3: Simplified Expression

Finally, we put the combined terms together to get our simplified expression:

-5x^2 + 9x

Therefore, the simplified expression of (-3x^2+5x-2)-2(x^2-2x-1) is -5x^2 + 9x.