Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 7 - Exponential and Logarithmic Functions - 7-3 Logarithmic Functions as Inverses - Practice and Problem-Solving Exercises - Page 458: 93

Answer

$4(b-5)(b+5)$

Work Step by Step

Factor out $4$ to obtain: \begin{align*} 4(b^2-25)\\ 4(b^2-5^2) \end{align*} Recall: $$m^2-n^2=(m-n)(m+n)$$ Factor the binomial using the formula above with $m=b$ and $n=5$ to obtain: $$4(b^2-5^2)=4(b-5)(b+5)$$
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