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3\left(a^{2}b+5a^{3}b^{2}-6ab^{3}\right)
Factor out 3.
ab\left(a+5a^{2}b-6b^{2}\right)
Consider a^{2}b+5a^{3}b^{2}-6ab^{3}. Factor out ab.
3ab\left(a+5a^{2}b-6b^{2}\right)
Rewrite the complete factored expression.