## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson

# Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set: 105

#### Answer

$x^2+6$

#### Work Step by Step

Since the grouping symbol is preceded by a negative sign, then the sign of each term inside the grouping symbol alters once the grouping symbol is removed. Hence, the given expression, $3x^2+11-(2x^2+5)$, is equivalent to \begin{array}{l}\require{cancel} 3x^2+11-2x^2-5 .\end{array} By combining like terms, then this simplifies to \begin{array}{l}\require{cancel} x^2+6 .\end{array}

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