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5\left(5x^{3}-x^{2}+3x^{3}\right)
Factor out 5.
x^{2}\left(5x-1+3x\right)
Consider 5x^{3}-x^{2}+3x^{3}. Factor out x^{2}.
8x-1
Consider 5x-1+3x. Multiply and combine like terms.
5x^{2}\left(8x-1\right)
Rewrite the complete factored expression.
40x^{3}-5x^{2}
Combine 25x^{3} and 15x^{3} to get 40x^{3}.