What is the determinant of the matrix A=(111abca2b2c2)A = \begin{pmatrix} 1 & 1 & 1 \\ a & b & c \\ a^2 & b^2 & c^2 \end{pmatrix}A=1aa21bb21cc2 (Vandermonde Matrix)?
(b−a)(c−a)(c−b)(b-a)(c-a)(c-b)(b−a)(c−a)(c−b)
(a−b)(b−c)(c−a)(a-b)(b-c)(c-a)(a−b)(b−c)(c−a)
(a+b)(b+c)(c+a)(a+b)(b+c)(c+a)(a+b)(b+c)(c+a)
abcabcabc