-(-2x%5E2%2B4x%2B2)-simplest-form.jpeg "(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
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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)
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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
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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.