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8\left(a^{3}b-3ab\right)
Factor out 8.
ab\left(a^{2}-3\right)
Consider a^{3}b-3ab. Factor out ab.
8ab\left(a^{2}-3\right)
Rewrite the complete factored expression. Polynomial a^{2}-3 is not factored since it does not have any rational roots.