Answer
(x+5y)(x+2y)
Work Step by Step
$x^{2}$ +7xy+10$y^{2}$=
$x^{2}$+2xy+5xy+10$y^{2}$ becouse 7xy=2xy+5xy
($x^{2}$+2xy)+(5xy+10$y^{2}$) group terms
x(x+2y)+5y(x+2y)=(x+5y)(x+2y) factoroutGCF from each grouping
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 6 - Section 6.2 - Factoring Trinomials of the Form x2+bx+c - Exercise Set - Page 429: 53
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