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: 29


$$(5a + 7b)(5a - 7b)$$

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 $(25)$ to get $A = 5$ and the square root of the constant $(49)$ to get $B = 7$. So we now plug these two values into the formula for factoring the binomial: $$(5a + 7b)(5a - 7b)$$
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