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5\left(5x^{3}+6x^{2}y-3x\right)
Factor out 5.
x\left(5x^{2}+6xy-3\right)
Consider 5x^{3}+6x^{2}y-3x. Factor out x.
5x\left(5x^{2}+6xy-3\right)
Rewrite the complete factored expression.