Question

The ninth term in the expansion of (3x-1/2x)^8



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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

T9 = 1 / 256x^8

Step-by-step explanation:

Given,

(3x - 1/2x)^8

To find: 9th term of expansion

Solution:

General term for this is given as:

T(r+1) = 8Cr (3x)^(8-r) (- 1/ 2x)^r

here, r = 8

Then, Ninth term will be:

T(8+1) = 8C8 (3x)^(8-8) (- 1/ 2x)^8

or, T9 =  1 * (1/2x)^8

or, T9 = 1 / 256x^8