The coefficient of `x^(-10)` in `(x^2-1/x^3)^10`, is

coefficient of x^(5) in (1+x+x^(2)+x^(3))^(10) is

Coefficient of x^(10) in e^(3x) is

If the coefficient of x^10 in (ax^2 + (1)/(bx))^11 is equal to the coefficient of x^(-10) in (ax - (1)/(bx^2))^11 then show that ab = -1

If the coefficient of x^10 in (ax^2 + (1)/(bx))^11 is equal to the coefficient of x^(-10) in (ax - (1)/(bx^2))^11 then show that ab = -1

The coefficient of x^4 in (x/2 - (3/x^2))^10 is

The coefficient of x^(6) in (2+2x)^(10) is

The coefficient of x^(6) in (2+2x)^(10) is