Answer
$$(a-5b)(a-b)$$
Work Step by Step
Consider all the pairs of factors of $5b^2$. Find the pair that sum to $-6b$:
$$(-5b)\times (-b)=5b^2$$
$$-5b-b=-6b$$
$$a^2-6ab+5b^2=(a-5b)(a-b)$$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter R - Algebra Reference - R.2 Factoring - R.2 Exercises - Page R-8: 9
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