The sum of coefficient of even powers of `x` in `(x +sqrt(x^(3) - 1))^(6) + (x-sqrt(x^(3)-1))^(6)` is: (A) 23 (B) 24 (C) 18 (D) 21

The sum of the coefficients of even powers of x in the expansion (1-x+x^(2)-x^(3))^(5) is

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 ________

The sum of the coefficients of all even degree terms is x in the expansion of : (x+sqrt(x^(3)-1))^(6)+(x-sqrt(x^(3)-1))^(6), (xgt1) is equal to

The sum of the coefficients of even power of x in the expansion of (1+x+x^(2)+x^(3))^(5) is 256 b.128c.512d.64

Evaluate the following: (sqrt(x+1)+sqrt(x-1))^(6)+(sqrt(x+1)-sqrt(x-1))^(6)

Solve foe x in R sqrt(x+8+6 sqrt(x-1))-sqrt(x+3+4sqrt(x-1))=1 .

The sum of the solution of the equation 2sin^(-1)sqrt(x^(2)+x+1)+cos^(-1)sqrt(x^(2)+x)=(3 pi)/(2) is 0(b)-1( c) 1 (d) 2

if f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then f'(3)+f'(6)= (A) 0 (B) 1 (C) 2 (D) 1/2