Answer
$\frac{x+4}{x+2}$
Work Step by Step
The square of a binomial sum is: $(A+B)^2=A^2+2AB+B^2$.
Hence here: $\frac{x^2+4x+4}{x^2+8x+16}\frac{(x+4)^3}{(x+2)^3}=\frac{(x+2)^2}{(x+4)^2}\frac{(x+4)^3}{(x+2)^3}=\frac{x+4}{x+2}$
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 6 - Section 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 414: 57
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