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7\left(3a^{3}b^{5}+5a^{5}b^{2}\right)
Factor out 7.
a^{3}b^{2}\left(3b^{3}+5a^{2}\right)
Consider 3a^{3}b^{5}+5a^{5}b^{2}. Factor out a^{3}b^{2}.
7a^{3}b^{2}\left(3b^{3}+5a^{2}\right)
Rewrite the complete factored expression.