Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Determinants Evaluation of Determinants

What is the value of the determinant \(\left| {\begin{array}{*{20}{c}} 1&1&1\\ 1&{1 + {\rm{xyz}}}&1\\ 1&1&{1 + {\rm{xyz}}} \end{array}} \right|?\)

1
1 + x + y + z
2
2xyz
3
x2y2z2
4
2x2y2z2
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