(5x^4-10x^3y+25x^2y^2)/(-5x^2)

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(5x^4-10x^3y+25x^2y^2)/(-5x^2)

(5x^4-10x^3y+25x^2y^2)/(-5x^2)
(5x^4-10x^3y+25x^2y^2)/(-5x^2)

(5x^4-10x^3y+25x^2y^2)/(-5x^2)
=-x^2+2xy-5y^2