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