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Question -

Find the 7th┬аterm in theexpansion of (3x2┬атАУ 1/x3)10.



Answer -

Given:

(3x2┬атАУ1/x3)10

Let us consider the 7th┬аtermas T7

So,

T7┬а= T6+1

=┬а10C6┬а(3x2)10-6┬а(-1/x3)6

=┬а10C6┬а(3)4┬а(x)8┬а(1/x18)

= [10├Ч9├Ч8├Ч7├Ч81] /[4├Ч3├Ч2├Чx10]

= 17010 / x10

тИ┤ The 7th┬аtermof the expression (3x2┬атАУ 1/x3)10┬аis17010 / x10.

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