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WAEC Mathematics 2000 Question 32

Question 32

Algebraic Expressions

Simplify 1/(x − 3) − 3(x − 1)/(x2 − 9)

  1. A.(x − 1)/(x − 3)
  2. B.−2/(x + 3)
  3. C.(x − 1)/(x + 3)
  4. D.4x/(x2 − 9)
Show the answer and explanation

Answer: B (−2/(x + 3))

Explanation

Over (x − 3)(x + 3): (x + 3) − 3(x − 1) = −2x + 6 = −2(x − 3). Cancel (x − 3) to get −2/(x + 3).