For the equation `2x = tan (2 tan^-1a) + 2 tan (tan^-1a + tan^-1a^3)`, which of the following is invalid?

For the equation 2x=tan(2tan^(-1)a)+2tan(tan^(-1)a+tan^(-1)a^(3)), which of the following is invalid?

For the equation 2x=tan(2tan^(-1)a)+ 2tan \ (tan^(-1)a+tan^(-1)a^3) , which of the following is/are invalid? a. a^2x+2a=x b. a^2+2a x+1=0 c. a!=0 d. a!=-1,\ 1

For the equation 2x=tan(2tan^(-1)a)+w tan(tan^(-1)a+tan^(-1)a^(3)) which of the following is/are invalid? a.a^(2)x+2a=x b.a^(2)+2ax+1=0 c.a !=0 d.a!=-1,1

For the equation 2x=tan(2tan^(-1)a)+2 t a n(tan^(-1)a+tan^(-1)a^3) , which of the following is/are invalid? a. "a"^2"x"+2"a"="x" b. "a"^2+2"a x"+1=0 c. "a"!=0 d. a!=-1,\ 1

For the equation 2x=tan(2tan^(-1)a)+2tan(tan^(-1)a+tan^(-1)a^(3)) , which of the following is valid ?

Prove that tan (2 tan^(-1) x ) = 2 tan (tan^(-1) x + tan^(-1) x^(3)) .

Prove that tan (2 tan^(-1) x ) = 2 tan (tan^(-1) x + tan^(-1) x^(3)) .

tan^-1 1 + tan^-1 2 + tan^-1 3 =

tan ^(-1) 1+tan ^(-1) 2+tan ^(-1) 3=

Prove that tan(2tan^(-1)x)=2tan(tan^(-1)x+tan^(-1)x^(3))