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4\left(-2a^{4}b^{2}-a^{2}b^{2}\right)
Factor out 4.
a^{2}b^{2}\left(-2a^{2}-1\right)
Consider -2a^{4}b^{2}-a^{2}b^{2}. Factor out a^{2}b^{2}.
4a^{2}b^{2}\left(-2a^{2}-1\right)
Rewrite the complete factored expression. Polynomial -2a^{2}-1 is not factored since it does not have any rational roots.