JAMB Mathematics 2000 Question 9

Question 9

Indices

Simplify (3(2n + 1) − 4(2n − 1))/(2n + 1 − 2n)

  1. A.2n + 1
  2. B.2n − 1
  3. C.4
  4. D.¼
Show the answer and explanation

Answer: C (4)

Explanation

Write everything in terms of 2n: the top is 6(2n) − 2(2n) = 4(2n) and the bottom is 2(2n) − 2n = 2n. The quotient is 4.