Question

I have the vandermonde determinant of order 3 and have to prove that it equals (b-a)(c-a)(c-b)

Answer 1

vandermonde determinant equals [1 a a^2], [1 b b^2], [1 c c^2]....I know how to find the a11b22..., my final step is finding \[bc ^{2}-ac ^{2}-b ^{2}c+ab ^{2}+a ^{2}c-a ^{2}b\] to equal (b-a)(c-a)(c-b)