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2\left(5a^{3}+2a\right)
Factor out 2.
a\left(5a^{2}+2\right)
Consider 5a^{3}+2a. Factor out a.
2a\left(5a^{2}+2\right)
Rewrite the complete factored expression. Polynomial 5a^{2}+2 is not factored since it does not have any rational roots.