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Simplify. (3x^2 - 5x - 6) + (5x^2 + 4x + 4)

Question:

Simplify.

{eq}\left(3x^2 - 5x - 6 \right) + \left(5x^2 + 4x + 4 \right) {/eq}

Quadratic Expression

Quadratic expressions are polynomials of the form: {eq}ax^{2} + bx + c {/eq} where {eq}a {/eq} is a non-zero integer. When simplifying quadratic expressions, it would be best to group them by decreasing exponent of the variable.

Answer and Explanation:

We are to simpliy the expression:

{eq}(3x^{2} - 5x - 6) + (5x^{2} + 4x +4) {/eq}

We start by collecting like terms by dropping the parentheses:

  • {eq}3x^{2} - 5x - 6 + 5x^{2} + 4x +4 {/eq}
  • {eq}3x^{2} + 5x^{2} - 5x + 4x - 6 +4 {/eq}
  • {eq}8x^{2} - x - 2 {/eq}

The simplified form of {eq}(3x^{2} - 5x - 6) + (5x^{2} + 4x +4) {/eq} is {eq}\color{blue}{8x^{2} - x - 2} {/eq}.


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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