(10x+10)-(7x^2+5x-8)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (10x + 10) - (7x² + 5x - 8)

This article will guide you through the process of simplifying the algebraic expression (10x + 10) - (7x² + 5x - 8).

Understanding the Expression

The expression involves subtracting one binomial (7x² + 5x - 8) from another (10x + 10). To simplify this, we need to distribute the negative sign and then combine like terms.

Step-by-Step Simplification

1. Distribute the negative sign: The negative sign in front of the second parenthesis acts as a multiplier for every term inside it.

   (10x + 10) - (7x² + 5x - 8) = 10x + 10 - 7x² - 5x + 8

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

   • x² terms: We have -7x²
   • x terms: We have 10x - 5x = 5x
   • Constant terms: We have 10 + 8 = 18

3. Write the simplified expression:

   -7x² + 5x + 18

Final Result

The simplified form of the expression (10x + 10) - (7x² + 5x - 8) is -7x² + 5x + 18.