WAEC Further Mathematics 2024 Question 24

Question 24

Binomial Theorem

Find the coefficient of y2 in the binomial expansion of (y − 2x)5.

  1. A.80x3
  2. B.80x2
  3. C.−80x2
  4. D.−80x3
Show the answer and explanation

Answer: D (−80x3)

Explanation

The y² term is ⁵C₃ y²(−2x)³ = 10 × (−8x³)y², so its coefficient is −80x³.