WAEC Mathematics 2012 Question 9

Question 9

Algebraic Expressions

Simplify: (54k2 − 6)/(3k + 1).

  1. A.6(1 − 3k2)
  2. B.6(3k2 − 1)
  3. C.6(3k − 1)
  4. D.6(1 − 3k)
Show the answer and explanation

Answer: C (6(3k − 1))

Explanation

54k2 − 6 = 6(9k2 − 1) = 6(3k − 1)(3k + 1). Cancel (3k + 1) to get 6(3k − 1).