trying to figure out how to prove two matrices are equal

Ok, so I am trying to prove that one matrix equals another without finding determinates. The first matrix is

(1, a, bc)

(1, b, ac)

(1, c, ab)

I need to figure out how to make that equal to:

(1, a, a^2)

(1, b, b^2)

(1, c, c^2)

I need to do this using column operations, so far I've tried multiplying the 2nd column by abc and subtracting the 3rd column to get the 3rd column, but I can't figure out how to finish off and get the squared letters by themeselves...

Thanks to anyone who takes time to figure this out, it's a big help