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(3x^2+4x-8)-(-2x^2+4x+2)

less than a minute read Jun 16, 2024
(3x^2+4x-8)-(-2x^2+4x+2)

Simplifying the Expression (3x^2 + 4x - 8) - (-2x^2 + 4x + 2)

This article will guide you through the process of simplifying the expression (3x^2 + 4x - 8) - (-2x^2 + 4x + 2).

Understanding the Problem

We are asked to simplify the given expression. This means combining like terms and removing any unnecessary parentheses.

Steps to Simplify

  1. Distribute the negative sign: The negative sign in front of the second set of parentheses means we multiply each term inside by -1:

    (3x^2 + 4x - 8) + (2x^2 - 4x - 2)

  2. Combine like terms: Identify terms with the same variable and exponent:

    3x^2 + 2x^2 + 4x - 4x - 8 - 2

  3. Simplify:

    5x^2 - 10

Final Answer

Therefore, the simplified form of the expression (3x^2 + 4x - 8) - (-2x^2 + 4x + 2) is 5x^2 - 10.

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