Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.4 - Polynomials - Exercise Set - Page 57: 106

Answer

makes sense.

Work Step by Step

Think about the product $(2x+3y)(2x-3y)$. If we use FOIL, it will look like this: $(2x+3y)(2x-3y)=(2x)(2x)-(2x)(3y)+(3y)(2x)-(3y)(3y)=4x^2-9y^2$. However, when using the formula $(A+B)(A-B)=A^2-B^2$, we have $(2x+3y)(2x-3y)=(2x)^2-(3y)^2=4x^2-9y^2$. Thus, the statement makes sense.
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