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WAEC Mathematics 1992 Question 9

Question 9

Algebraic Expressions

Factorize the expression 2y2 + xy − 3x2

  1. A.2y(y + x) − 3x2
  2. B.(2y − x)(2y + x)
  3. C.(3x − 2y)(x − y)
  4. D.(2y + 3x)(y − x)
  5. E.(x − y)(2y + 3x)
Show the answer and explanation

Answer: D ((2y + 3x)(y − x))

Explanation

Split xy as 3xy − 2xy: 2y2 − 2xy + 3xy − 3x2 = 2y(y − x) + 3x(y − x) = (2y + 3x)(y − x).