Mathematics

Factorize the expression 2y(^2) + xy – 3x(^2)

Factorize the expression 2y(^2) + xy – 3x(^2)

  • A.
    2y (y + x) – 3x2
  • B.
    (2y – x)(2y + x)
  • C.
    (3x – 2y(x – y)
  • D.
    (2y + 3) x (y – x)
  • E.
    (x – y)(2y + 3x)
Correct Answer: Option D
Explanation

2y(^2) + xy – 3x(^2)

2y(^2) + 3xy – 2xy – 3x(^2)

y(2y + 3x) – x(2y + 3x)

= (y – x)(2y + 3x)