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`

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

1.	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`
Answer» 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`