# Chapter 4 - Polynomials - 4.7 Polynomials in Several Variables - 4.7 Exercise Set - Page 284: 53

$m^6n^2+2m^3n-48$

#### Work Step by Step

Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $(m^3n+8)(m^3n-6) ,$ simplifies to \begin{array}{l}\require{cancel} m^3n(m^3n)+m^3n(-6)+8(m^3n)+8(-6) \\\\= m^6n^2-6m^3n+8m^3n-48 \\\\= m^6n^2+2m^3n-48 .\end{array}

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