The co-efficient of `x` in the expansion of `(1-2x^(3) + 3x^(5)) (1+1/x)^(8)` is :

The coefficient of x^5 in the expansion of (x+3)^8

The coefficient of x^11 in the expansion of (1- 2x + 3x^2) (1 + x)^11 is

The coefficient of x^6 in the expansion of (1+x+x^2)^(-3), is

The coefficient of x^(8) in the expansion of (1+x+x^(2)+x^(3))^(4) is

The coefficient of x^4 in the expansion of ((1 -3x)^2)/((1 - 2x)) is

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

The coefficient of x^(n) in the expansion of (1)/((1-x)(3 -x)) , is

The coefficient of x^(6) in the expansion of (1+x+x^(2)+x^(3))(1-x)^(6) is

Statement-1: The middle term of (x+(1)/(x))^(2n) can exceed ((2n)^(n))/(n!) for some value of x. Statement-2: The coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+ . . .)^(-n) is (1*3*5 . . .(2n-1))/(n!)*2^(n) . Statement-3: The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is 2.1.

Find the co-efficient of x^(2) in the expansion of (x + 2)^(6) .