Answer
$9x^8-4y^2$
Work Step by Step
Using the product of the sum and difference of like terms, $(a+b)(a-b)=a^2-b^2$, the given expression is equivalent to
\begin{align*}
&
(3x^4+2y)(3x^4-2y)
\\\\&=
(3x^4)^2-(2y)^2
\\\\&=
9x^8-4y^2
.\end{align*}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 56
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