Find the coefficient of `x^6` `y^3` in the expansion of `(x+2y)^9`.

Find a if the coefficients of x^2 and x^3 in the expansion of 3 + ax)^9 are equal.

Find the coefficient of x^(15) in the expansion (x-x^(2))^(10)

Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(11)

The coeficient of (x^(7)y^(3)) in the expansion of (x-y)^(10)- the coefficient of (x^(3)y^(7)) in the expansion of (x-y)^(10) is ………

Find the coefficient of x^(2) in the expansion of e^(2x+3) as a series in powers of x.

Find the coefficient of x in the expansion of (1-3x+7x^(2))(1-x)^(16)

Find a positive value of m for which the coefficient of x^2 in the expansion (1+x)^m is 6.

Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1) .

Find the coefficient of 1/(x^(17)) in the expansion (x^(4)-1/(x^(3)))^(15)

The coefficient of x in expansion of (x^(2)+a/x)^(5) is ……….