The determinant ∣∣∣∣∣1a2+bca31b2+cab31c2+abc3∣∣∣∣∣ equals

The determinant ∣∣∣∣∣1a2+bca31b2+cab31c2+abc3∣∣∣∣∣

1.	The determinant ∣∣∣∣∣1a2+bca31b2+cab31c2+abc3∣∣∣∣∣ equals
Answer» The determinant $∣ ∣∣∣ ∣ \begin{matrix} 1 & a^{2} + b c & a^{3} 1 & b^{2} + c a & b^{3} 1 & c^{2} + a b & c^{3} \end{matrix} ∣ ∣∣∣ ∣$ equals