2(x^2-3y^2)^2+24x^2y^2

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2(x^2-3y^2)^2+24x^2y^22(x^2-3y^2)^2+24x^2y^22(x^2-3y^2)^2+24x^2y^22(x^2-3y^2)62+24x^2y^2=2(x^4+9y^4-

2(x^2-3y^2)^2+24x^2y^2
2(x^2-3y^2)^2+24x^2y^2

2(x^2-3y^2)^2+24x^2y^2
2(x^2-3y^2)62+24x^2y^2 = 2(x^4+9y^4-6x^2y^2)+24x^2y^2 = 2x^4+18y^4-12x^2y^2+24x^2y^2
=2x^4+18y^4+12x^2y^2 = 2(x^4+6x^2y^2+9y^4) = 2(x^2+3y^2)^2