It's independent

Find the term independent of x x in expansion of ( x + 1 x 2 / 3 x 1 / 3 + 1 x 1 x x 1 / 2 ) 10 \left(\frac{x+1}{x^{2/3}-x^{1/3}+1}-\frac{x-1}{x-x^{1/2}}\right)^{10}


The answer is 210.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Rushikesh Jogdand
Mar 21, 2016

Such problems look bizarre at first sight. But on second sight we can easily simplify it as, ( x 1 / 3 x 1 / 2 ) 10 \left(x^{1/3}-x^{-1/2}\right)^{10}

Whose independent term would be- ( 10 6 ) ( x 1 / 3 ) 6 × ( x 1 / 2 ) 4 {10 \choose 6}\left(x^{1/3}\right)^{6}\times \left(x^{-1/2}\right)^{4} coefficient of independent term = 210 \implies \text{coefficient of independent term}=\boxed{210}

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...