WAEC - Further Mathematics (2019 - No. 28)

Find the coefficient of the third term in the binomial expansion of [2x + \(\frac{3y}{4}\)]\(^3\) in descending powers of x.
\(\frac{27}{64}\)y\(^2\)
\(\frac{27}{8}\)y\(^2\)
8y\(^2\)
9y\(^2\)

Explanation

(2x + \(\frac{3y}{4}\))\(^3\)

= 3(2x) (\(\frac{3y}{4}\))\(^2\)

= \(\frac{27}{8}\)y\(^2\)

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