Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set: 81

Answer

$45x^{3}+18x^{2}y-5x-2y$

Work Step by Step

$(3x+1)(3x-1)(2y+5x)$ Multiplying $(3x+1)(3x-1),$ it is in the form of $(a+b)(a-b)$ $(a+b)(a-b)= (a^{2}-b^{2})$. $(3x+1)(3x-1)= (3x)^{2}-1^{2} = 9x^{2}-1$. $(3x+1)(3x-1)(2y+5x) = (9x^{2}-1)(2y+5x)$ $=18x^{2}y+45x^{3}-2y-5x$ $=45x^{3}+18x^{2}y-5x-2y$
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