Which one of the following does \(M = \left| {\begin{array}{*{20}{c}} 1&x&{{x^2}}\\ 1&y&{{y^2}}\\ 1&z&{{z^2}} \end{array}} \right|\) is/are equals?
1
\(\left| {\begin{array}{*{20}{c}} 1 \;\;\;\;\;{x + 1} \;\;\;\;\;{{x^2} + 1}\\1 \;\;\;\;\;{y + 1} \;\;\;\;\;{{y^2 + 1}}\\ 1 \;\;\;\;{z + 1} \;\;\;\;\;{{z^2 + 1}} \end{array}} \right|\)
2
\(\left| {\begin{array}{*{20}{c}} 2 \;\;\;\;\;{x + y} \;\;\;\;\;{{x^2} + y^2}\\0 \;\;\;\;\;{y - z} \;\;\;\;\;{{y^2 - z^2}}\\ 1 \;\;\;\;\;\;\;\;\;{z} \;\;\;\;\;\;\;\;\;\;\;\;\;\;{{z^2}} \end{array}} \right|\)
3
\(\left| {\begin{array}{*{20}{c}} 1&{x\left( {x + 1} \right)}&{x + 1}\\ 1&{y\left( {y + 1} \right)}&{y + 1}\\ 1&{z\left( {z + 1} \right)}&{z + 1} \end{array}} \right|\)
4
\(\left| {\begin{array}{*{20}{c}} 0&{x - y}& {{x^2} - {y^2}}\\ 0&{y - z}& {{y^2} - {z^2}}\\ 1& z& {{z^2}} \end{array}} \right|\)