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9\left(3y^{15}-y^{3}\right)
Factor out 9.
y^{3}\left(3y^{12}-1\right)
Consider 3y^{15}-y^{3}. Factor out y^{3}.
9y^{3}\left(3y^{12}-1\right)
Rewrite the complete factored expression. Polynomial 3y^{12}-1 is not factored since it does not have any rational roots.