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(2x^ 2 -6x-5)+(-9x^ 2 +5x-4)(2x2−6x−5)+(−9x2+5x−4)

less than a minute read Jun 16, 2024
(2x^ 2 -6x-5)+(-9x^ 2 +5x-4)(2x2−6x−5)+(−9x2+5x−4)

Simplifying the Expression: (2x² - 6x - 5) + (-9x² + 5x - 4)

This article will guide you through the process of simplifying the given expression: (2x² - 6x - 5) + (-9x² + 5x - 4).

Understanding the Process

To simplify this expression, we'll follow these steps:

  1. Remove the parentheses: Since we are adding the two expressions, the parentheses don't affect the order of operations.
  2. Combine like terms: Identify terms with the same variable and exponent, and combine their coefficients.

Simplifying the Expression

  1. Removing Parentheses: (2x² - 6x - 5) + (-9x² + 5x - 4) = 2x² - 6x - 5 - 9x² + 5x - 4

  2. Combining Like Terms:

    • x² terms: 2x² - 9x² = -7x²
    • x terms: -6x + 5x = -x
    • Constant terms: -5 - 4 = -9

The Simplified Expression

Putting everything together, the simplified expression is: -7x² - x - 9

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