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The determinant of the matrix \(\left[\begin{array}{lll}1 & a & a^{2}\\ 1 & b & b^{2}\\ 1 & c & c^{2}\end{array}\right]\) is |
\(\left(a-b\right)\left(b-c\right)\left(a-c\right)\) \(\left(a-b\right)\left(c-b\right)\left(c-a\right)\) \(\left(a-b\right)\left(b-c\right)\left(c-a\right)\) \(\left(b-a\right)\left(b-c\right)\left(c-a\right)\) |
\(\left(a-b\right)\left(b-c\right)\left(c-a\right)\) |
