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Factor polynomial $$ 10x^{6}y^{2}+5x^{5}y^{3}+15x^{4}y^{4} $$
Answer
$$ 10x^{6}y^{2}+5x^{5}y^{3}+15x^{4}y^{4} = 5x^{4}y^{2}(2x^{2}+xy+3y^{2}) $$
Explanation
Factor out common factor $ \color{blue}{ 5x^4y^2 } $:
$$ 10x^6y^2+5x^5y^3+15x^4y^4 = 5x^4y^2 ( 2x^2+xy+3y^2 ) $$