`@` `\text {Ans}`
`\downarrow`
\(C= x^2-y^2+z^2-x^2+y^2-z^2+x^2+y^2+z^2\)
`= (x^2 - x^2 + x^2) + (-y^2 + y^2 + y^2) + (z^2 - z^2 + x^2)`
`= x^2 + y^2 + z^2`
\(C=x^2-y^2+z^2-x^2+y^2-z^2+x^2+y^2+z^2\)
\(C=\left(x^2-x^2+x^2\right)-\left(y^2-y^2-y^2\right)+\left(z^2-z^2+z^2\right)\)
\(C=x^2-\left(-y^2\right)+z^2\)
\(C=x^2+y^2+z^2\)