" Express as the sum of two squares "(1+x^(2))(1+y^(2))(1+z^(2))

Express each of the following expressions as the sum of two squares: (1+x^(2))(1+y^(2))(1+z^(2))

Express each of the following expressions as the sum of two squares: (1+x^(2))(1+y^(2))

Express (1+a^2)(1+b^2) as the sum of two squares.

Express (1+a^(2))(1+b^(2)) as the sum of two squares.

Express (1 + a^2)(1 + b^2)(1+c^2) as the sum of two squares.

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

If xy + yz + zx = 1 , show that x/(1-x^(2)) +y/(1-y^(2)) + z/(1-z^(2))= (4xyz)/((1-x^(2))(1-y^(2)) (1-z^(2)))

If xy + yz + zx = 1 , show that x/(1-x^(2)) +y/(1-y^(2)) + z/(1-z^(2))= 4xyz/((1-x^(2))(1-y^(2)) (1-z^(2)))