Find the coefficient of the term in the binomial expansion of [2x + \(\frac{3y}{4}\)]\(^3\) in...
FURTHER MATHEMATICS
WAEC 2019
Find the coefficient of the term in the binomial expansion of [2x + \(\frac{3y}{4}\)]\(^3\) in descending powers of x.
- A. \(\frac{27}{64}\)y\(^2\)
- B. \(\frac{27}{8}\)y\(^2\)
- C. 8y\(^2\)
- D. 9y\(^2\)
Correct Answer: B. \(\frac{27}{8}\)y\(^2\)
Explanation
(2x + \(\frac{3y}{4}\))\(^3\)
= 3(2x) (\(\frac{3y}{4}\))\(^2\)
= \(\frac{27}{8}\)y\(^2\)
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