Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-4 Multiplying Soecial Cases - Got It? - Page 506: 3


a. $7225$ b. Yes, for example: $(90-5)^{2}$

Work Step by Step

a. $85^{2}=$ ...write $85^{2}$ as the square of a binomial. $=(80+5)^{2}$ ...square the binomial. $=80^{2}+2(80)(5)+5^{2}$ ...simplify. $=6400+800+25$ ...simplify. $=7225$ b. Yes, for example, 90 is a round number, so we can do the job by $(90-5)^{2}=8100-2\cdot 5\cdot 90+25$ $=8100-900+25$ $=7225$
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