Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises: 60

Answer

$\color{blue}{(4q+5)(4q-5)}$

Work Step by Step

Note that $16q^2=(4q)^2$ and $25=5^2$. Thus, the given binomial is equivalent to: $=(4q)^2-5^2$ Factor using the formula $a^2-b^2=(a+b)(a-b)$ where $a=4q$ and $b=5$ to obtain: $=\color{blue}{(4q+5)(4q-5)}$
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