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