WAEC Further Mathematics 2016 Question 16

Question 16

Binomial Theorem

Find the fourth term in the expansion of (3x − y)6.

  1. A.−540x3y3
  2. B.−540x4y2
  3. C.−27x3y3
  4. D.540x4y2
Show the answer and explanation

Answer: A (−540x3y3)

Explanation

The fourth term is ⁶C₃(3x)³(−y)³ = 20 × 27 × (−1)x³y³ = −540x³y³.