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 5.2 - Multiplication of Polynomials - Exercise Set - Page 339: 111

Answer

$4x^2-28x+49$

Work Step by Step

The square of a binomial sum is: $(A-B)^2=A^2-2AB+B^2$. Hence here: $\frac{(2x-7)^5}{(2x-7)^3}=(2x-7)^{5-3}=(2x-7)^2=(2x)^2-2\cdot2x\cdot7+7^2=4x^2-28x+49$
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