Consider the matrix A=(1xx21yy21zz2)A = \begin{pmatrix} 1 & x & x^2 \\ 1 & y & y^2 \\ 1 & z & z^2 \end{pmatrix}A=111xyzx2y2z2. Which expression is equivalent to det(A)\det(A)det(A)?
(y−x)(z−x)(z−y)(y-x)(z-x)(z-y)(y−x)(z−x)(z−y)
(x−y)(y−z)(z−x)(x-y)(y-z)(z-x)(x−y)(y−z)(z−x)
(x−y)(x−z)(y−z)(x-y)(x-z)(y-z)(x−y)(x−z)(y−z)
(x+y)(y+z)(z+x)(x+y)(y+z)(z+x)(x+y)(y+z)(z+x)