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JAMB Mathematics 1978 Question 19

Question 19

Algebraic Expressions

Simplify (a − b)/(a + b) − (a + b)/(a − b)

  1. A.4ab/(a2 − b2)
  2. B.2ab/(a2 − b2)
  3. C.−4ab/(a2 − b2)
  4. D.4ab/(a − b)2
  5. E.2ab/(a + b)2
Show the answer and explanation

Answer: C (−4ab/(a2 − b2))

Explanation

Over the common denominator (a + b)(a − b) = a² − b², the top is (a − b)² − (a + b)² = −4ab.