Intermediate Algebra for College Students (7th Edition)

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

Chapter 7 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 552: 149

Answer

$x+5+2\sqrt{x+4}$.

Work Step by Step

The given expression is $=(\sqrt{x+4}+1)^2$ Use the special formula $(A+B)^2=A^2+2AB+B^2$. We have $A=\sqrt{x+4}$ and $B=1$. $=(\sqrt{x+4})^2+2(\sqrt{x+4})(1)+(1)^2$ Use product rule. $=x+4+2\sqrt{x+4}+1$ Simplify. $=x+5+2\sqrt{x+4}$.
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