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

Further Mathematics
WAEC 2019

Find the coefficient of the third 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\(^2\)
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Correct Answer: Option B
Explanation

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

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

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


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