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WAEC Mathematics 1998 Question 19

Question 19

Algebraic Expressions

Express as a single fraction: x/(x − 2) − (x + 2)/(x + 3)

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

Answer: D ((3x + 4)/((x − 2)(x + 3)))

Explanation

Numerator = x(x + 3) − (x + 2)(x − 2) = x2 + 3x − x2 + 4 = 3x + 4.