WAEC Mathematics 2020 Question 23

Question 23

Algebraic Expressions

Simplify: a/b − b/a − c/b.

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

Answer: D ((a2 − b2 − ac)/(ab))

Explanation

Use the common denominator ab: (a·a − b·b − c·a)/(ab) = (a2 − b2 − ac)/(ab).