Answer
$4p^2+4pq+q^2-12p-6q+9$
Work Step by Step
Use the formula $(a+b)^2=a^2+2ab+b^2$ and treat $2p-3$ as a single term, we have:
$[(2p-3)+q]^2=(2p-3)^2+2(2p-3)q+q^2=(4p^2-12p+9)+4pq-6q+q^2=4p^2+4pq+q^2-12p-6q+9$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.3 Polynomials - R.3 Exercises - Page 33: 77
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