In the expansion of `(sqrt(x^5)+3/(sqrt(x^3)))^6` coefficient of `x^3` is (i)`0` (ii)`120` (iii)`420` (iv)`540`

The coefficient of x^3 in (sqrt(x^5)+(3)/(sqrt(x^3)))^6 is

The term containing x^(3) in the expansion (sqrt(x^(5))+(3)/(sqrt(x^(3))))^(6) appears in

In the expansion of (x+sqrt(x^(3)-1))^(5)+(x-sqrt(x^(3)-1))^(5) the sum of coefficients of all terms having odd exponent is ……….

Find the coefficient of x^3 in ( sqrt(x^5) + (3)/(sqrt(x^3)) )^6

Find the coefficient of x^3 in ( sqrt(x^5) + (3)/(sqrt(x^3)) )^6

Write (i) the coefficient of x^(3) in 3x^(2)-5x^(3)+x^(4) . (ii) the coefficient of x in sqrt(3)-2sqrt(2)x+6x^(2) . (iii) the coefficient of x^(2) in 2x-3+x^(3) , (iv) the coefficient of x in (3)/(8)x^(2)-(2)/(7)x+(1)/(6) . (v) the constant term in (pi)/(2)x^(2)+7x-(2)/(5)pi .

The 13 th term in the expansion of (9x-1/(3sqrt(x)))^(18),x gt0 is (i) ""^(18)C_(12)x^(3) (ii) ""^(18)C_(12)x^(6) (iii) ""^(18)C_(12)1/(x^(6)) (iv) ""^(18)C_(12)

In the expansion of sqrt(3+ax) where a!=0 the coefficient of the term in x^(2) is 3 xx the coefficient of the term in x^(3). Find the value of a.

The sum of the coefficients of all even degree terms in x in the expansion of (x+sqrt(x^(3)-1))^(6)+(x-sqrt(x^(3)-1))^(6) , (xlt1) is equal to 4k. The value of k is ________