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WAEC Mathematics 2013 Question 9

Question 9

Algebraic Expressions

Simplify: (x2 − y2)/(x + y)2 ÷ (x − y)2/(3x + 3y)

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

Answer: C (3/(x − y))

Explanation

(x − y)(x + y)/(x + y)2 = (x − y)/(x + y). Dividing by (x − y)2/3(x + y) gives (x − y)/(x + y) × 3(x + y)/(x − y)2 = 3/(x − y).