Factorise: 6x\(^2\) + 7xy - 5y\(^2\)
A
(6x + 5y)(x - y)
B
(2x + 5y)(3x - y)
C
(3x + y)(2x - 5y)
D
(3x + 5y)(2x - y)
E
(2x + y)(3x - 5y)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(6x^2 + 7xy - 5y^2\)
= \(6x^2 + 10xy - 3xy - 5y^2\)
= \(2x(3x + 5y) - y(3x + 5y)\)
= \((2x - y)(3x + 5y)\)
Source: Myschool Past Questions Archive (Record #23504)