Mathematics

Factorise: 6x(^2) + 7xy – 5y(^2)

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)
Correct Answer: Option D
Explanation

(6x^2 + 7xy – 5y^2)

= (6x^2 + 10xy – 3xy – 5y^2)

= (2x(3x + 5y) – y(3x + 5y))

= ((2x – y)(3x + 5y))