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 - Page 269: 30

Answer

$(x-3)(y+9)$

Work Step by Step

Upon inspection, we find that $y$ is common to the first two terms of the expression while $9$ is common to the last two terms of the expression: $xy-3y+9x-27$ =$y(x-3)+9(x-3)$ Since $(x-3)$ is now common to the entire expression, we factor it out: $y(x-3)+9(x-3)=(x-3)(y+9)$ The expression cannot be factorize further.

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