WAEC Further Mathematics 2018 Question 37

Question 37

Binomial Theorem

Find the constant term in the binomial expansion of (2x2 + 1/x)9.

  1. A.84
  2. B.168
  3. C.336
  4. D.672
Show the answer and explanation

Answer: D (672)

Explanation

The term ⁹Cᵣ(2x²)^(9 − r)(1/x)ʳ has power 18 − 3r, which is 0 when r = 6: ⁹C₆ × 2³ = 84 × 8 = 672.