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JAMB Mathematics 1990 Question 25

Question 25

Algebraic Expressions

Simplify x/(x + y) + y/(x − y) − x2/(x2 − y2)

  1. A.x2/(x2 − y2)
  2. B.y2/(x2 − y2)
  3. C.x/(x2 − y2)
  4. D.y/(x2 − y2)
Show the answer and explanation

Answer: B (y2/(x2 − y2))

Explanation

Over the common denominator x2 − y2, the top is x(x − y) + y(x + y) − x2 = y2. So the answer is y2/(x2 − y2).