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