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

2 min read Jun 16, 2024
(3x^2+4x-8)-(-2x^2+4x+2) Simplest Form

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 expression by combining like terms. This involves removing the parentheses and then adding or subtracting the coefficients of similar variables.

Step-by-Step Solution

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

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

  2. Combine like terms: Identify terms with the same variable and exponent, and combine their coefficients.

    • x^2 terms: 3x^2 + 2x^2 = 5x^2
    • x terms: 4x - 4x = 0
    • Constant terms: -8 - 2 = -10

  3. Write the simplified expression: Combine the simplified terms to get the final expression:

    5x^2 - 10

Conclusion

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

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