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

Prove that : 1/6tan^(-1)""(2x)/(1-x^2)+1/9tan^(-1)""(3x-x^2)/(1-3x^2)+1/12 tan^(-1)""(4x-4x^3)/((1-6x^2+x^4))= tan^(-1)x

3 ((3x-1) / (2x + 3))-2 ((2x + 3) / (3x-1)) = 5, x! = (1) / (3),-(3) / (2) )

3 ((3x-1) / (2x + 3))-2 ((2x + 3) / (3x-1)) = 5, x! = (1) / (3),-(3) / (2) )

Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)), |x| < 1/sqrt3

The LCM of the polynomials x^3 +3x^2 +3x + 1, x^2 +2x+1 and x^2 -1 is :

If y = tan ^ (- 1) ((3x) / (1-2x ^ (2))), - (1) / (sqrt (2))

(3x - 9)/( (x - 1 )(x + 2 )(x^(2)+1))

Without expanding, find the value of: (i) (x + 1)^4 - 4(x + 1)^3 (x - 1) + 6(x + 1)^2 (x - 1)^2 - 4(x + 1) (x - 1)^3 + (x -1)^4 (ii) (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4