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7a^{3}-a^{4}+3a^{4}+a^{3}
Combine 5a^{3} and 2a^{3} to get 7a^{3}.
7a^{3}+2a^{4}+a^{3}
Combine -a^{4} and 3a^{4} to get 2a^{4}.
8a^{3}+2a^{4}
Combine 7a^{3} and a^{3} to get 8a^{3}.
a^{3}\left(8+2a\right)
Factor out a^{3}.
2a+8
Consider 5-a+2+3a+1. Multiply and combine like terms.
2\left(a+4\right)
Consider 2a+8. Factor out 2.
2a^{3}\left(a+4\right)
Rewrite the complete factored expression.