ótt: $$ \left(x^{2}+y^{2}\right)^{2}-(2 x y)^{2} $$

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Calculate or simplify the expression $$ (x^2+y^2)^2-(2xy)^2 $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\left(x^{2}+y^{2}\right)^{2}-\left(2xy\right)^{2}$$
- step1: Expand the expression:
  $$x^{4}+2x^{2}y^{2}+y^{4}-\left(2xy\right)^{2}$$
- step2: Rewrite the expression:
  $$x^{4}+2x^{2}y^{2}+y^{4}-4x^{2}y^{2}$$
- step3: Subtract the terms:
  $$x^{4}-2x^{2}y^{2}+y^{4}$$
The simplified form of the expression $$ \left(x^{2}+y^{2}\right)^{2}-(2xy)^{2} $$ is $$ x^{4}-2x^{2}y^{2}+y^{4} $$.
The simplified form is $$ x^{4} - 2x^{2}y^{2} + y^{4} $$.

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