# Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1 - Page 243: 57

$(2x+1)(x-5)$

#### Work Step by Step

Using factoring by grouping, the factored form of the given expression, $2x^2+x-10x-5 ,$ is \begin{array}{l}\require{cancel} (2x^2+x)-(10x+5) \\\\= x(2x+1)-5(2x+1) \\\\= (2x+1)(x-5) .\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.