Answer :

[tex]x^{4}-x^{2}y^{2}-2y^{4}[/tex]
[tex]=x^{4}-2x^{2}y^{2}+x^{2}y^{2}-2y^{4}[/tex]
[tex]=x^{2}(x^{2}-2y^{2})+y^{2}(x^{2}-2y^{2})[/tex]
[tex]=(x^{2}-2y^{2})(x^{2}+y^{2})[/tex]

-x^2y^2(1-x^2+2y^2)

hope this helps

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