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c\left(-c^{2}a+c^{2}a^{2}+\left(c+1\right)a^{3}+c^{2}a-c^{2}a^{2}-a^{3}+a^{4}\right)
Factor out common term c by using distributive property.
a^{4}+ca^{3}
Consider -c^{2}a+c^{2}a^{2}+\left(c+1\right)a^{3}+c^{2}a-c^{2}a^{2}-a^{3}+a^{4}. Simplify.
a^{3}\left(a+c\right)
Factor out a^{3}.
c\left(a+c\right)a^{3}
Rewrite the complete factored expression.