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5\left(3x^{4}-3x^{3}+4x^{3}\right)
Factor out 5.
x^{3}\left(3x+1\right)
Consider 3x^{4}-3x^{3}+4x^{3}. Factor out x^{3}.
3x+1
Consider 3x-3+4. Multiply and combine like terms.
5x^{3}\left(3x+1\right)
Rewrite the complete factored expression.
15x^{4}+5x^{3}
Combine -15x^{3} and 20x^{3} to get 5x^{3}.