erweitern (x^2-1)/((1+x^2)^2)

Lösung

erweitern

\frac{x ^{2} - 1}{( 1 + x ^{2} ) ^{2}}

\frac{x ^{2} - 1}{1 + 2 x ^{2} + x ^{4}}

Schritte zur Lösung

\frac{x ^{2} - 1}{( 1 + x ^{2} ) ^{2}}

(1 + x^{2})^{2} = 1 + 2 x^{2} + x^{4}

= \frac{x ^{2} - 1}{1 + 2 x ^{2} + x ^{4}}

e x p an d (- e^{x} - e^{- x}) \cdot (- e^{x} + e^{- x})

e x p an d (5 x + 7) (x + 5)^{'}

e x p an d - x^{3} + (1 + 1 0^{10}) x^{2} - 1 0^{10} x

e x p an d \frac{x ( x + 8 )}{x ^{2} + 8 x + 16}

e x p an d e^{(t - 1)} U (t - 1)