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What about

sage: factor(u)
(-1/2) * z^-2 * (-x - y + z) * (x + y)

What about

sage: R.<x,y,z> = QQ[]
sage: u = (-524288*x^2 - 1048576*x*y - 524288*y^2 + 524288*x*z + 524288*y*z)/(-1048576*z^2)
sage: factor(u)
(-1/2) * z^-2 * (-x - y + z) * (x + y)