Coefficient of `x^5` in the expansion of `(3x)/((x-1)^2(x+2))` is

the coefficient of x in the expansion of (3x+2)^(2) is

The coefficient of x^(5) in the expansion of (1+x^(2))(1+x)^(4) is

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

Find the coefficient of x^5 in the expansion of ((2x)/3-3/(2x)) ^5

The coefficient of x^(5) in the expansion of (1+(x)/(1!)+(x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+(x^(5))/(5!))^(2) is

Find the coefficient of x^(4) in the expansion of (3x^(2)+2x)/((x^(2)+2)(x-3)) specifying the region which the expansion is valid.