Precalculus (6th Edition)

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: 9

Answer

The given statement is false. A corrected statement is: $(x+y)^2 = x^2 + 2xy + y^2$

Work Step by Step

RECALL: $(a+b)^2=a^2+2ab + b^2$ Use the rule above with $a=x$ and $b=y$ to obtain: $=x^2 + 2(x)(y) + y^2 \\=x^2xy+y^2$ Thus, the given statement is false. A corrected statement is: $(x+y)^2 = x^2 + 2xy + y^2$
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