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