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