# Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set - Page 284: 34

$5r^3+4rs-6r^2$

#### Work Step by Step

Removing the grouping symbols and then combining like terms, the given expression, $(7r^3+rs-5r^2)-(2r^3-3rs+r^2) ,$ simplifies to \begin{array}{l}\require{cancel} 7r^3+rs-5r^2-2r^3+3rs-r^2 \\\\= (7r^3-2r^3)+(rs+3rs)+(-5r^2-r^2) \\\\= 5r^3+4rs-6r^2 .\end{array}

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