Question

Which term in the expansion of {(x/√y)^1/3 + (y/x^1/3)^1/2)}²¹ 

contains x and y to one and the same power.

Answer 1

Lets consider T_r+1^th term in the given expansion contains x and y to one and the same power.

Now we have,

T_r+1 = ⁿC_r x^n-r a^r

Thus, the required term is the 10^th term.