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\frac{1}{x^{2}+y^{2}}
Rewrite \left(x^{2}+y^{2}\right)^{2} as \left(x^{2}+y^{2}\right)\left(x^{2}+y^{2}\right). Cancel out x^{2}+y^{2} in both numerator and denominator.
\frac{1}{x^{2}+y^{2}}
Rewrite \left(x^{2}+y^{2}\right)^{2} as \left(x^{2}+y^{2}\right)\left(x^{2}+y^{2}\right). Cancel out x^{2}+y^{2} in both numerator and denominator.