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2\left(-4a^{3}b^{2}+6ab^{3}c-3a^{2}\right)
Factor out 2.
a\left(-4a^{2}b^{2}+6b^{3}c-3a\right)
Consider -4a^{3}b^{2}+6ab^{3}c-3a^{2}. Factor out a.
2a\left(-4a^{2}b^{2}+6b^{3}c-3a\right)
Rewrite the complete factored expression.