Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.5 - Factoring Special Forms - Exercise Set - Page 371: 32



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: $4a^3c^2-16ax^2y^2=\\=4a(a^2c^2-4x^2y^2)\\=4a((\sqrt{a^2c^2}+\sqrt{4x^2y^2})(\sqrt{a^2c^2}-\sqrt{4x^2y^2}))\\=4a((ac+2xy)(ac-2xy))\\=4a(ac+2xy)(ac-2xy)$
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