4x^(2)y^(2)-4x^(2)y^(2)z^(2)+z^(2)

"if " sin^(-1) x +sin ^(-1) y+sin ^(-1) z=pi show that , x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=2(x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2))

If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi , then prove that x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=2(x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2))

If x+y+z=0 , then the value of (x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2))/(x^(4)+y^(4)+z^(4)) is

If Sin^(-1)x + Sin^(-1)y + Sin^(-1)z = pi , then prove that x^(4) + y^(4) + z^(4) + 4x^(2)y^(2)z^(2) = 2(x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2)) .

Identify the terms, their coefficients for each of the following expressions: 4x^2y^2 – 4x^2y^2z^2 + z^2