The term independent of x in the expansion of ( x+1x^2/3-x^1/3+1- x-1x-x^1/2)^10 ,x 1, is equal to

Question

Accepted Answer

Correct answer: 210. (210) ((x^1/3+1)- ( x+1 x ))^10 (x^1/3-x^-1/2)^10 T_r+1=10C_r (x^1/3 )^10-r(-x^-1/2)^r 10-r3- r2=0 ⇒20-2r-3r=0 ⇒r=4 T_5=^10C_4= 10 9 8 74 3 2 1=210

$The term independent of x in the expansion of (\frac{x + 1}{x ^{2/3} - x ^{1/3} + 1} - \frac{x - 1}{x - x ^{1/2}})^{10}, x \neq = 1, is equal to$

Solution

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