Express: `((x+sqrt(x^2+1))^6+ (x-sqrt(x^2+1))^6)` as a polynomial in x

Simplify: (x+sqrt(x-1))^6+(x-sqrt(x-1))^6

The expression (1)/( sqrt( 3x +1)) [ ( ( 1+ sqrt( 3x + 1))/(2))^(7) - (( 1- sqrt ( 3x +1))/(2))^(7)] is a polynomial in x of degree eual to

Let coefficient of x^4 and x^2 in the expansion of (x+sqrt(x^2-1))^6+(x-sqrt(x^2-1))^6 is alpha and beta then alpha-beta is equal to

The expression (sqrt(2x^(2)+1)+sqrt(2x^(2)-1))^(6)+((2)/((sqrt(2x^(2)+1)+sqrt(2x^(2)-1))^(square)))^(6) is polynomial of degree 6 b.8 c.10 d.12

The expression (sqrt(x^(3)-1)+x^(2))^(11)-(sqrt(x^(3)-1)-x^(2))^(11) is a polynomial of degree

If alpha and beta be the coefficients of x^6 and x^2 respectively in the expansion of (x+sqrt(x^2 -1))^6+(x-sqrt(x^2 -1))^6 , then