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Question: The power of x occurring in 7<sup>th</sup> term in the expansion of \(\left( \frac{4x}{5} - \frac{8}...

The power of x occurring in 7th term in the expansion of (4x585x)9\left( \frac{4x}{5} - \frac{8}{5x} \right)^{9}is-

A

3

B

–3

C

5

D

None

Answer

–3

Explanation

Solution

T7 = T6+1 = 9C6 (4x5)3\left( \frac { 4 x } { 5 } \right) ^ { 3 } (85x)6\left( \frac{- 8}{5x} \right)^{6}

® power of x = 3 – 6 = –3