## Elementary Algebra

Published by Cengage Learning

# Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.5 - Factoring, Solving Equations, and Problem Solving - Problem Set 6.5: 29

#### Answer

$(x+5)(y-8)$

#### Work Step by Step

Upon inspection, we find that $y$ is common to the first two terms of the expression while $-8$ is common to the last two terms of the expression: $xy+5y-8x-40$ =$y(x+5)-8(x+5)$ Since $(x+5)$ is now common to the entire expression, we factor it out: $y(x+5)-8(x+5)=(x+5)(y-8)$ The expression cannot be factored further.

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