The term independent of x in expansion of `((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))` is (1) 120 (2) 210 (3) 310 (4) 4

Explanation

Let `((x+1)/(x^(2/3)-x^(1/3)+1))`

​=`((x+1)(x^(1/3)+1))/(x^(2/3)-x^(1/3)+1)(x^(1/3)+1)`

⇒`[(x+1)(x^(1/3)+1)]/[x^(1/3)^3+1]`=`(x^(1/3)+1)`

Again=`(x-1)/(x-x^(1/2))​`=`[(x^(1/2)+1)(x^(1/2)−1)]/[x^(1/2)(x^(1/2)−1)​]`

=`(x^(1/2)+1​)/(x^(1/2))`

So,
=`((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))`


...