The term independent of x in the expansion of `(ax^(p)+(1)/(bx^(q)))` is `T_(r+1)`, then r=

The term independent of x in the expansion of (x^2-(1)/(x))^6 is

The term independent of x in the expansion of (2x+1/(3x))^(6) is

The term independent of x in the expansion of (2x-1/x)^(10) is

Find the term independent of x in the expansion of: (x-1/x)^(12) .

If a^2 + b = 2 , then maximum value of the term independent of x in the expansion of ( ax^(1/6) + bx^(-1/3))^9 is (a > 0; b > 0)

The coefficient of x^(r) in the expansion of (1-ax-x^(2))/(e^(x)) is

The the term independent in the expansion of [(t^(-1)-1)x+(t^(-1)+1)^(-1)x^(-1)]^8 is

Find the greatest value of the term independent of x in the expansion of (xsinalpha+(cosalpha)/x)^(10) , where alpha in R .

Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax + (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .

Find the (r+1) th term in the expansion of ((x)/(a)-(a)/(x))^(2n)