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2\left(-2a^{3}b^{2}-5ab^{3}c+3a^{2}bc^{2}\right)
Factor out 2.
ab\left(-2a^{2}b-5b^{2}c+3ac^{2}\right)
Consider -2a^{3}b^{2}-5ab^{3}c+3a^{2}bc^{2}. Factor out ab.
2ab\left(-2a^{2}b-5b^{2}c+3ac^{2}\right)
Rewrite the complete factored expression.