Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Section 6.5 - A General Factoring Strategy - Exercise Set - Page 462: 14

Answer

$(6xy+5)(36x^{2}y^{2}+30xy+25)$

Work Step by Step

$ 216x^{3}y^{3}+125\qquad$...use the sum of two cubes: $\mathrm{A}^{3}+\mathrm{B}^{3} = (\mathrm{A}+\mathrm{B})(\mathrm{A}^{2} - \mathrm{A}\mathrm{B} + B^{2})$ $=(6xy)^{3}+5^{3}$ $=(6xy+5)((6xy)^{2}-6xy\cdot 5+5^{2})$ $=(6xy+5)(36x^{2}y^{2}-30xy+25)$
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