Answer
$16x^4-625$
Work Step by Step
The product of a binomial sum and a binomial difference is: $(A+B)(A-B)=A^2-B^2$.
Hence here: $(2x+5)(2x-5)(4x^2+25)=((2x)^2-5^2)(4x^2+25)=(4x^2-25)(4x^2+25)=(4x^2)^2-25^2=16x^4-625$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 5 - Section 5.2 - Multiplication of Polynomials - Exercise Set - Page 338: 107
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