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What are the factors of 2x\(^2\) – xy – 3y\(^2\) ?

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Mathematics NECO 2002

What are the factors of 2x\(^2\) – xy – 3y\(^2\) ?

  • (2x + 3y)(x + y)2
  • (2x + 3y)(x + y)
  • (2x + 3y)(x - y)
  • (2x - 3y)(x + y) checkmark
  • (2x - 3y)(x - y)

The correct answer is: D

Explanation

2x\(^2\) - xy - 3y\(^2\)

= 2x\(^2\) + 2xy - 3xy - 3y\(^2\)

= 2x(x + y) - 3y(x + y)

= (2x - 3y)(x + y)

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