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

Lösung

erweitern

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

\frac{t - x - 1}{t ^{3} - t ^{2} x - t x ^{2} + x ^{3}}

Schritte zur Lösung

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

(t - x)^{2} = t^{2} - 2 t x + x^{2}

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

Multipliziere aus

(t^{2} - 2 t x + x^{2}) (t + x) : t^{3} - t^{2} x - t x^{2} + x^{3}

= \frac{t - x - 1}{t ^{3} - t ^{2} x - t x ^{2} + x ^{3}}

e x p an d (2 t + 3 t^{2}) \cdot (4 e^{t^{2} - 1} + 10 t^{4})

e x p an d 49 π (19 e^{20} + 1)

e x p an d \frac{d}{d x} ((x - 2) (x - 6)^{3}) + 8

e x p an d (1 - cos (θ)) (1 + sin (θ) + cos (θ))

e x p an d \frac{3 x ^{2} ( 9 - x ^{2} )}{( 7 - 5 x ) ( 5 x ^{2} - 6 )}