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