Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 1 - Problem Solving and Critical Thinking - 1.1 Inductive and Deductive Reasoning - Exercise Set 1.1: 70

Answer

$(11-7)^2 = 121 - 154 + 49$

Work Step by Step

$(6-2)^2 = 36 - 24 + 4$ $(8-5)^2 = 64 - 80 +25$ $(11-7)^2 = ?$ We can notice that $36 = 6^2$ $24=6*2*2$ $4 = 2^2$ and also $64=8^2$ $80=8*5*2$ $25=5^2$ From this we use inductive reasoning to write a compatible expression: $(11-7)^2 = 121 - 154 + 49$
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