WAEC Mathematics 2004 Question 38

Question 38

Algebraic Expressions

Simplify 2/(a + b) − 1/(a − b)

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

Answer: B ((a − 3b)/(a2 − b2))

Explanation

2(a − b) − (a + b) = a − 3b over (a + b)(a − b) = a2 − b2.