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 373: 136

Answer

$(2x^n+5y^m)^2$

Work Step by Step

The square of a binomial sum is: $(A+B)^2=A^2+2AB+B^2$. Hence here: $4x^{2n}+20x^ny^m+25y^{2m}=(2x^n)^2+2\cdot2x^n\cdot5y^m+(5y^m)^2=(2x^n+5y^m)^2$
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