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JAMB Mathematics 1987 Question 27

Question 27

Algebraic Expressions

Simplify
(x2 − y2)/(2x2 + xy − y2)

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

Answer: C ((x − y)/(2x − y))

Explanation

x² − y² = (x − y)(x + y) and 2x² + xy − y² = (2x − y)(x + y). Cancelling (x + y) leaves (x − y)/(2x − y).