(x-2y^2)^2-(x+2y^2)^2=x^2-4y^2x+4y^4-(x^2+4y^2x+4y^4)=x^2-4y^2x+4y^4-x^2-4y^2=-8y^2x
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(x-2y^2)^2-(x+2y^2)^2=x^2-4y^2x+4y^4-(x^2+4y^2x+4y^4)=x^2-4y^2x+4y^4-x^2-4y^2=-8y^2x