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 - Page 289: 28



Work Step by Step

Using the FOIL Method, $(a+b)(c+d)=ac+ad+bc+bd$, the given expression simplifies to \begin{align*} & (4x^2-5y^2)(x^2-2y^2) \\\\&= 4x^4-8x^2y^2-5x^2y^2+10y^4 \\\\&= 4x^4-13x^2y^2+10y^4 .\end{align*}
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