Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 6 - Review Exercises - Page 479: 28


$$(9 + 10y)(9 - 10y)$$

Work Step by Step

To factor the difference of two squares, we use the formula: $$A^2 - B^2 = (A + B)(A - B)$$ For this binomial, we take the square root of the leading coefficient $(81)$ to get $A = 9$ and the square root of the constant $(100)$ to get $B = 10$. So we now plug these two values into the formula for factoring the binomial: $$(9 + 10y)(9 - 10y)$$
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