Find the coefficient of x in the expansion of `(1-2x^3+ 3x^5)(1+(1)/(x))^8`

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

Find the coefficient of x^5 in the expansion of (x+3)^6 is :

Find the coefficient of x^8 in the expansion of (x^2-1/x)^(10)

Find the coefficient of x^4 in the expansion of (2-x+3x^2)^6dot

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

Find the coefficient of x^(7) in the expansion of (1+3x-2x^(3))^(10) .

Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)dot

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 coefficient of x^5 in the expansion of : (1 + x)^21+ (1 + x)^22+ .............+ (1 + x)^30 .

Find the coefficient of x^(10) in the expansion of (2x^(2)-(3)/(x))^(11), x ne0