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Factor polynomial $$ 3x^{3}y^{2}-9x^{2}y^{4}+3xy^{3} $$
Answer
$$ 3x^{3}y^{2}-9x^{2}y^{4}+3xy^{3} = 3xy^{2}(x^{2}-3xy^{2}+y) $$
Explanation
Factor out common factor $ \color{blue}{ 3xy^2 } $:
$$ 3x^3y^2-9x^2y^4+3xy^3 = 3xy^2 ( x^2-3xy^2+y ) $$