Prove that \begin{bmatrix} bc-a^2 & ca-b^2 & ab-c^2 \\ ca-b^2 & ab-c^2 & bc-a^2 \\ ab-c^2 & bc-a^2 & ca-b^2 \\ \end{bmatrix} is equal to \begin{bmatrix} b^2+2ac & c^2+2ab & a^2+2bc \\ a^2+2bc & b^2+2ac & c^2+2ab \\ c^2+2ab & a^2+2bc & b^2+2ac \\ \end{bmatrix} Honestly, I don't see it. Will it be ...