Find-the-term-indepent-of-x-in-the-expression-of-2x-1-2x-9-

Question Number 85418 by oustmuchiya@gmail.com last updated on 21/Mar/20

F i n d t h e t e r m i n d e p e n t o f x i n t h e e x p r e s s i o n o f {(2 x - \frac{1}{2 x})}^{9}

Commented by jagoll last updated on 22/Mar/20

let 2 x = u

{(u - \frac{1}{u})}^{3} = u^{3} - 3 (u^{2}) (\frac{1}{u}) + 3 u (\frac{1}{u^{2}}) - (\frac{1}{u^{3}})

= u^{3} - 3 u + \frac{3}{u} - \frac{1}{u^{3}}

nothing term independent of x

similarly to {(u - \frac{1}{u})}^{9}

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