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Factor polynomial $$ 24xy^{5}+12x^{3}y-36x^{2}y^{5}+48xy^{2} $$
Answer
$$ 24xy^{5}+12x^{3}y-36x^{2}y^{5}+48xy^{2} = 12xy(2y^{4}+x^{2}-3xy^{4}+4y) $$
Explanation
Factor out common factor $ \color{blue}{ 12xy } $:
$$ 24xy^5+12x^3y-36x^2y^5+48xy^2 = 12xy ( 2y^4+x^2-3xy^4+4y ) $$