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Factor polynomial $$ 3x^{3}+6xy+9x^{2}+12x^{2}y^{2} $$
Answer
$$ 3x^{3}+6xy+9x^{2}+12x^{2}y^{2} = 3x(x^{2}+2y+3x+4xy^{2}) $$
Explanation
Factor out common factor $ \color{blue}{ 3x } $:
$$ 3x^3+6xy+9x^2+12x^2y^2 = 3x ( x^2+2y+3x+4xy^2 ) $$