Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises - Page 34: 36

Answer

$r^2 - 4rs + 4s^2$

Work Step by Step

$Multiply$ $the$ $algebraic$ $expressions$ $using$ $a$ $Special$ $Product$ $Formula$ $and$ $simplify:$ $(r-2s)^2$ Use the Square of a Difference Product Formula: $(A-B)^2 = A^2 - 2AB + B^2$ $(r-2s)^2$ = $r^2 - (2\times r \times 2s) + (2s)^2$ $= r^2 - 4rs + 4s^2$
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