Algebra: A Combined Approach (4th Edition)

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: 53

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
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