Разложите на множители: ab-a^2b^2+a^3b^3-c+abc-ca^2b^2.

\[ab - a^{2}b^{2} + a^{3}b^{3} - c + abc - ca^{2}b^{2} =\]

\[= \text{ab}\left( 1 - ab + a^{2}b^{2} \right) - c\left( 1 - ab + a^{2}b^{2} \right) =\]

\[= \left( 1 - ab + a^{2}b^{2} \right)(ab - c)\mathbf{.}\]