What are the factors of 2x\(^2\) - xy - 3y\(^2\) ?
A
(2x + 3y)(x + y)2
B
(2x + 3y)(x + y)
C
(2x + 3y)(x - y)
D
(2x - 3y)(x + y)
E
(2x - 3y)(x - y)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
2x\(^2\) - xy - 3y\(^2\)
= 2x\(^2\) + 2xy - 3xy - 3y\(^2\)
= 2x(x + y) - 3y(x + y)
= (2x - 3y)(x + y)
Source: Myschool Past Questions Archive (Record #42170)