Answer
(10r+13s)(10r-13s)
Work Step by Step
100$r^2$ - 169$s^2$
= $(10r)^2$ - $(13s)^2$
Now, $a^2$ - $b^2$ = (a+b)(a-b)
and a = 10r , b = 13s
Which implies,
= (10r+13s)(10r-13s)
which is the answer
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.4 Factoring Polynomials - R.4 Exercises - Page 44: 110
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