# Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set - Page 427: 81

$(x-2y)(3x+5y)$

#### Work Step by Step

Using factoring by grouping, the given expression, $3x^2-6xy+5xy-10y^2 ,$ is equivalent to \begin{array}{l}\require{cancel} (3x^2-6xy)+(5xy-10y^2) \\\\= 3x(x-2y)+5y(x-2y) \\\\= (x-2y)(3x+5y) .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.