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13\left(v^{4}+3v^{2}\right)
Factor out 13.
v^{2}\left(v^{2}+3\right)
Consider v^{4}+3v^{2}. Factor out v^{2}.
13v^{2}\left(v^{2}+3\right)
Rewrite the complete factored expression. Polynomial v^{2}+3 is not factored since it does not have any rational roots.