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4\left(ax-2ax^{2}+3ax^{3}\right)
Factor out 4.
ax\left(1-2x+3x^{2}\right)
Consider ax-2ax^{2}+3ax^{3}. Factor out ax.
4ax\left(1-2x+3x^{2}\right)
Rewrite the complete factored expression. Polynomial 1-2x+3x^{2} is not factored since it does not have any rational roots.