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Find the coefficient of the term in the binomial expansion of [2x + ...

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