\[a^4+b^4= (a^2+b^2)^2-2a^2b^2\]
Example .For a =3 b=2
\[3^4+2^4= (3^2+2^2)^2-2*3^2*2^2\]=97
\[a^4+b^4= (a^2+\sqrt{2}ab+b^2)(a^2-\sqrt{2}ab+b^2)\]
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