(x^2-4x-10)+(x^2-9x+3) Simplified

Jasonbradley

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Jun 17, 2024

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Simplifying the Expression: (x^2 - 4x - 10) + (x^2 - 9x + 3)

This article will guide you through simplifying the expression (x^2 - 4x - 10) + (x^2 - 9x + 3). We will break down the steps to help you understand the process.

Understanding the Expression

The expression involves two sets of parentheses containing terms with variables and constants. We aim to combine like terms to simplify the expression.

Simplifying the Expression

1. Remove the parentheses: Since we are adding the two sets of parentheses, we can simply remove them.

   (x^2 - 4x - 10) + (x^2 - 9x + 3) = x^2 - 4x - 10 + x^2 - 9x + 3

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

   x^2 - 4x - 10 + x^2 - 9x + 3 = 2x^2 - 4x - 9x - 10 + 3

3. Simplify: Combine the constant terms.

   2x^2 - 4x - 9x - 10 + 3 = 2x^2 - 13x - 7

Final Simplified Expression

The simplified form of the expression (x^2 - 4x - 10) + (x^2 - 9x + 3) is 2x^2 - 13x - 7.