Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter R - Elementary Algebra Review - R.5 Polynomials and Factoring - R.5 Exercise Set: 10

Answer

$(ab+12)^2$

Work Step by Step

Using the factoring of trinomials in the form $x^2+bx+c,$ the given expression, $ a^2b^2+24ab+144,$ has $c$ equal to $ 144 $ and $b$ equal to $ 24 .$ The two numbers that give a product of $c$ and a sum of $b$ are $\{ 12,12 \}.$ Hence, the factored form of the expression above is \begin{array}{l}\require{cancel} (ab+12)(ab+12) \\\\= (ab+12)^2 .\end{array}
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