Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - 3.4 Factoring Polynomials - 3.4 Exercises: 21

Answer

$(2x+3y)(8x+9)$

Work Step by Step

Separate all the terms into two sets of parentheses. Then find the greatest common factor of each set to factor. $16x^2+18x+24xy+27y$ $=(16x^2+24xy)+(18x+27y)$ $=8x(2x+3y)+9(2x+3y)$ $=(2x+3y)(8x+9)$
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