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 - Practice: 6

Answer

(a) $(x+2y)(x+7y)$ (b) $(a-3b)(a-10b)$

Work Step by Step

Part (a): $x^{2}+9xy+14y^{2}=$ $x^{2}+2xy+7xy+14y^{2}=$ $x(x+2y)+7y(x+2y)=$ $(x+2y)(x+7y)$ Part (b): $a^{2}-13ab+30b^{2}=$ $a^{2}-3ab-10ab+30b^{2}=$ $a(a-3b)-10b(a-3b)=$ $(a-3b)(a-10b)$
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