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