## Introductory Algebra for College Students (7th Edition)

Published by Pearson

# Chapter 6 - Section 6.1 - The Greatest Common Factor and Factoring by Grouping - Exercise Set: 78

#### Answer

$(y+6)(x+2)$

#### Work Step by Step

Using factoring by grouping, the given expression, $xy+6x+2y+12 ,$ is equivalent to \begin{array}{l}\require{cancel} (xy+6x)+(2y+12) \\\\= x(y+6)+2(y+6) \\\\= (y+6)(x+2) .\end{array}

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