Assuming Det(AB) = Det(A) x Det(B) for 3x3 matrices prove that the determinant of

3 , a+b+c , a^3+b^3+c^3

a+b+c , a^2+b^2+c^2 , a^4+b^4+c^4

a^2+b^2+c^2 , a^3+b^3+c^3 , a^5+b^5+c^5

= (a+b+c)(b-a)^2(c-a)^2(a-b)^2

i was just going to work through the math but i dont really understand how the result given at the top will help me when working out the determinant as its is the cofactor times the 2x2 you get - the next cofactor times the 2x2 and so on.