WAEC Further Mathematics 2023 Objective — Question 24

Question 24 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2023 Objective paper, with the correct answer and a full explanation.

Find the coefficient of y^2 in the binomial expansion of (y-2x)^5.

A. 80x^3
B. 80x^2
C. -80x^2
D. -80x^3Correct

Explanation

Using Pascal's triangle {1,5,10,10,5,1}, the term containing y^2 is 10y^2(-2x)^3 = 10(-8)x^3y^2 = -80x^3y^2, so the coefficient of y^2 is -80x^3.

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