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Factor polynomial $$ 21m^{5}n^{2}+6m^{3}n+15m^{2} $$
Answer
$$ 21m^{5}n^{2}+6m^{3}n+15m^{2} = 3m^{2}(7m^{3}n^{2}+2mn+5) $$
Explanation
Factor out common factor $ \color{blue}{ 3m^2 } $:
$$ 21m^5n^2+6m^3n+15m^2 = 3m^2 ( 7m^3n^2+2mn+5 ) $$