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(8x-4-4x^2)+(7x^2-9x-6)

2 min read Jun 16, 2024
(8x-4-4x^2)+(7x^2-9x-6)

Simplifying Polynomial Expressions: (8x - 4 - 4x²) + (7x² - 9x - 6)

This article will guide you through the process of simplifying the given polynomial expression: (8x - 4 - 4x²) + (7x² - 9x - 6).

Understanding the Problem

The expression consists of two sets of terms enclosed in parentheses. To simplify, we need to combine like terms. Like terms are terms that have the same variable and exponent. For example, 8x and -9x are like terms because they both have the variable 'x' raised to the power of 1.

Steps to Simplify

  1. Remove the parentheses: Since we are adding the two sets of terms, the parentheses don't affect the signs of the terms inside. We can simply rewrite the expression without them: 8x - 4 - 4x² + 7x² - 9x - 6

  2. Identify like terms:

    • x² terms: -4x² + 7x²
    • x terms: 8x - 9x
    • Constant terms: -4 - 6

  3. Combine like terms:

    • -4x² + 7x² = 3x²
    • 8x - 9x = -x
    • -4 - 6 = -10

  4. Write the simplified expression: 3x² - x - 10

Final Answer

The simplified form of the polynomial expression (8x - 4 - 4x²) + (7x² - 9x - 6) is 3x² - x - 10.

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