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factorizas x^2 y luego x
x^2(y^2+y)+x(y+1)
luego factorizas y
x^2[y(y+1)]+x(y+1)
x^2y(y+1)+x(y+1) ambos comparten (y+1)
(y+1) [x^2y+x]
(y+1) [x(xy+1)]
y el factor que se encuentra en tu clave es y+1 y lo marcas xD