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In the exapansion `(6+9x)^(5)` the coefficient of `x^(3)` is __________

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In the exapansion `(6+9x)^(5)` the coefficient of `x^(3)` is __________
A. `2^(2)xx3^(8)`
B. `2^(4)xx3^(7)`
C. `2^(3)xx3^(8)xx5`
D. `2^(4)xx3^(7)5`
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Correct Answer - C
Given expression is `(6+9x)^(5)`
`T_(3+1)=""^(5)C_(3)(6)^(3)(9x)^(3)=2xx5xx(2xx3)^(2)xx3^(6)xx^(3)`
`:.` The required coefficient `=2^(3)xx3^(8)xx5`
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