Find the term independent of x in the expression of (2x−(1/(2x)))^9


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Question Number 85532 by oustmuchiya@gmail.com last updated on 22/Mar/20

$F i n d t h e t e r m i n d e p e n d e n t o f x i n t h e e x p r e s s i o n o f {(2 x - \frac{1}{2 x})}^{9}$
	Answered by mind is power last updated on 22/Mar/20

	${(2 a - \frac{1}{2 a})}^{k}$ $= \underset{i = 0}{\sum^{k}} C_{k}^{i} {(2 a)}^{i} . {(- \frac{1}{2 a})}^{k - i}$ $= \underset{i = 0}{\sum^{k}} C_{k}^{i} {(- 1)}^{k - i} 2^{2 i - k} . a^{2 i - k}$ $i n e d e p e n d s n t a \Rightarrow k = 2 i$ $9 n o t p o s s i b l e$
	Commented by jagoll last updated on 23/Mar/20

	$yes sir . i got same result .$ $nothing independent term of x$
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