Answer
$(x-5y)(x-3y)$
Work Step by Step
$(x+my)(x+ny)=x^{2}+(m+n)xy+(mn)y^{2}$
$x^{2}-8xy+15y^{2}=$
Searching for two factors of $c=+15$ whose sum is $b=-8,$
we find$\qquad -5$ and $-3.$
$=(x-5y)(x-3y)$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 5 - Section 5.4 - Factoring Trinomials - Exercise Set - Page 361: 24
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