Answer
$(3a - 4)^2$
Work Step by Step
$(3a + 5)^2$ - 18(3a + 5) + 81
$(3a + 5)^2$ - 2 * 9 * (3a + 5) + $9^2$
Now, $A^2$ - 2AB + $B^2$ = $(A-B)^2$
and A = 3a+5 , B = 9
Which implies,
= $((3a+5) - 9)^2$
= $(3a - 4)^2$
which is the answer
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.4 Factoring Polynomials - R.4 Exercises - Page 44: 112
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