erweitern ((x^2-y^2))/((x^2+y^2)^2)

Lösung

erweitern

\frac{( x ^{2} - y ^{2} )}{( x ^{2} + y ^{2} ) ^{2}}

\frac{x ^{2} - y ^{2}}{x ^{4} + 2 x ^{2} y ^{2} + y ^{4}}

Schritte zur Lösung

\frac{x ^{2} - y ^{2}}{( x ^{2} + y ^{2} ) ^{2}}

(x^{2} + y^{2})^{2} = x^{4} + 2 x^{2} y^{2} + y^{4}

= \frac{x ^{2} - y ^{2}}{x ^{4} + 2 x ^{2} y ^{2} + y ^{4}}

e x p an d (x - d) (x - e) (x - f)

e x p an d x^{\frac{3}{4}} (3 x - 3)

s im pl i f y \frac{1}{( x + x ^{2} - 1 ) ^{2}}

e x p an d \frac{1 - 2 x ^{2}}{( 2 x ^{2} + 1 ) ^{2}}

e x p an d (1 - cos (2 x)) (1 - cos (2 x)) (1 - cos (2 x))