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Question
The term independent of x in the expansion of `(root(6)(x) - 1/root(3)(x))^9` is ______.
Options
– 9C3
– 9C4
– 9C5
– 8C3
MCQ
Fill in the Blanks
Solution
The term independent of x in the expansion of `(root(6)(x) - 1/root(3)(x))^9` is `underlinebb(- ""^9C_3)`.
Explanation:
Tr + 1 = `""^9C_r (root(6)(x))^(9 - r) (-1/root(3)(x))^r`
= `""^9C_r (-1)^r . x^((9 - r)/6 - r/3)`
= `""^9C_r . x^(((9 - 3r)/6))`
Now `(9 - 3r)/6` = 0 `\implies` r = 3 ;
Thus, term independent of x = – 9C3
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Middle term(s) in the expansion of (a + b)n
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