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WAEC Mathematics 2013 Question 41

Question 41

Algebraic Expressions

Express 2/(x + 3) − 1/(x − 2) as a simple fraction.

  1. A.(x − 7)/(x2 + x − 6)
  2. B.(x − 1)/(x2 + x − 6)
  3. C.(x − 2)/(x2 + x − 6)
  4. D.(x + 7)/(x2 + x − 6)
Show the answer and explanation

Answer: A ((x − 7)/(x2 + x − 6))

Explanation

[2(x − 2) − (x + 3)]/[(x + 3)(x − 2)] = (x − 7)/(x2 + x − 6).