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5\left(4y^{4}-3y^{2}+6y^{2}\right)
Factor out 5.
y^{2}\left(4y^{2}+3\right)
Consider 4y^{4}-3y^{2}+6y^{2}. Factor out y^{2}.
5y^{2}\left(4y^{2}+3\right)
Rewrite the complete factored expression. Polynomial 4y^{2}+3 is not factored since it does not have any rational roots.
20y^{4}+15y^{2}
Combine -15y^{2} and 30y^{2} to get 15y^{2}.