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

Published by Pearson

Chapter R - Elementary Algebra Review - R.4 Polynomials - R.4 Exercise Set - Page 961: 45

Answer

$4x^3-3x^2+8x+7$

Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression simplifies to \begin{array}{l}\require{cancel} (3x^3+2x^2+8x)+(x^3-5x^2+7) \\\\= 3x^3+2x^2+8x+x^3-5x^2+7 \\\\= (3x^3+x^3)+(2x^2-5x^2)+8x+7 \\\\= 4x^3-3x^2+8x+7 .\end{array}

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