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Factor polynomial $$ 25a^{3}x^{5}y^{4}+35a^{4}x^{2}y^{3}-45a^{5}x^{3}y^{2} $$
Answer
$$ 25a^{3}x^{5}y^{4}+35a^{4}x^{2}y^{3}-45a^{5}x^{3}y^{2} = 5a^{3}x^{2}y^{2}(5x^{3}y^{2}+7ay-9a^{2}x) $$
Explanation
Factor out common factor $ \color{blue}{ 5a^3x^2y^2 } $:
$$ 25a^3x^5y^4+35a^4x^2y^3-45a^5x^3y^2 = 5a^3x^2y^2 ( 5x^3y^2+7ay-9a^2x ) $$