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

Mathematics
WAEC 1992

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 + 3x)(y - x)
  • E. (x – y)(2y + 3x)
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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)

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