## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set: 101

#### Answer

$30x^2y^{2n+1}-10x^2y^n$

#### Work Step by Step

Using $a(b+c)=ab+ac$ or the Distributive Property and using the laws of exponents, the given expression, $5x^2y^n(6y^{n+1}-2)$, simplifies to \begin{array}{l}\require{cancel} 30x^2y^{n+n+1}-10x^2y^n \\\\= 30x^2y^{2n+1}-10x^2y^n .\end{array}

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