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4\left(-2a^{3}b^{4}-5a^{2}b^{5}+7a^{2}b^{3}\right)
Factor out 4.
a^{2}b^{3}\left(-2ab-5b^{2}+7\right)
Consider -2a^{3}b^{4}-5a^{2}b^{5}+7a^{2}b^{3}. Factor out a^{2}b^{3}.
4a^{2}b^{3}\left(-2ab-5b^{2}+7\right)
Rewrite the complete factored expression.