`(x^(1/3)+1/(2*x^(1/3)))^(18)`

If the coefficients of x^-2 and x^-4 the expansion of (x^(1/3) +1/(2x^(1/3)))^18 , are m and n respectively, then m/n is equal to

If m is the coefficient of 7th term and n is the coefficient of 13th therm in expansion of (x^(2/3)/3+1/(2x^(1/3)))^18 then value of (x^(2/3)/3+1/(2x^(1/3)))^18 is

If the coefficients of x^(-2) and x^(-4) the expansion of (x^((1)/(3))+(1)/(2x^((1)/(3))))^(18), are m and n respectively,then (m)/(n) is equal to

If (3(x^((1)/(3))-(1)/(x^((1)/(3)))))^((1)/(3))=2, then x^((1)/(3))+(1)/(x^((1)/(3)))=

Find the term independent of x (constant term) in the following expansion: (i) (x^(2)-(1)/(3x))^(9) " "(ii) (x-(1)/(x))^(10) (iii) (3x-(2)/(x^(2)))^(18) " "(iv) (1)/(x^(n))(1+x)^(2n) (V)(3sqrt(x)+(1)/(2(3sqrt(x))))^(18)" "(vi)((3x^(2))/(2)-(1)/(3x))^(6)

Let f: RvecRf(x)=x^3-3x^2+3x-2, then f^(-1)(x) is given by 1+(x+1)^(1/3) (2) 1+(x-1)^(1/3) x+1 3-1 (4) x-1 3-1

((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))=

If (x +1/x) = 2 , then find the value of (x^3 + 1//x^3) + (x^(18) + 1//x^(18))

x^(3)-(1)/(x^(3)) if "x^(2)+(1)/(x^(2))=18

If f(x)=(1+x)(2+x^(2))^((1)/(2))(3+|x^(3)|)^((1)/(3)) then f'(-1) is