(z^2-x^2-y^2)^2-4x^2y^2.
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(z^2-x^2-y^2)^2-4x^2y^2.
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(z^2-x^2-y^2)^2-4x^2y^2
=(z^2-x^2-y^2)^2-(2xy)^2
=(z^2-x^2-y^2+2xy)(z^2-x^2-y^2-2xy)
=(z^2-(x-y)^2)(z^2-(x+y)^2)
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
=(z^2-x^2-y^2)^2-(2xy)^2
=(z^2-x^2-y^2+2xy)(z^2-x^2-y^2-2xy)
=(z^2-(x-y)^2)(z^2-(x+y)^2)
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
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