erweitern 2(pi-t)^3-3(pi-t)^2

Lösung

erweitern

2 (π - t)^{3} - 3 (π - t)^{2}

2 π^{3} - 6 π^{2} t + 6 π t^{2} - 2 t^{3} - 3 π^{2} + 6 π t - 3 t^{2}

Schritte zur Lösung

2 (π - t)^{3} - 3 (π - t)^{2}

(π - t)^{3} = π^{3} - 3 π^{2} t + 3 π t^{2} - t^{3}

= 2 (- t^{3} + 3 π t^{2} - 3 π^{2} t + π^{3}) - 3 (- t + π)^{2}

(π - t)^{2} = π^{2} - 2 π t + t^{2}

= 2 (- t^{3} + 3 π t^{2} - 3 π^{2} t + π^{3}) - 3 (t^{2} - 2 π t + π^{2})

Multipliziere aus

2 (π^{3} - 3 π^{2} t + 3 π t^{2} - t^{3}) : 2 π^{3} - 6 π^{2} t + 6 π t^{2} - 2 t^{3}

= 2 π^{3} - 6 π^{2} t + 6 π t^{2} - 2 t^{3} - 3 (π^{2} - 2 π t + t^{2})

Multipliziere aus

- 3 (π^{2} - 2 π t + t^{2}) : - 3 π^{2} + 6 π t - 3 t^{2}

= 2 π^{3} - 6 π^{2} t + 6 π t^{2} - 2 t^{3} - 3 π^{2} + 6 π t - 3 t^{2}

e x p an d (3 x + 4) e^{x} d x

e x p an d \frac{3}{( a ^{2} - y ^{2} ) 2}

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

e x p an d (x^{2}) + (3 x^{3})

e x p an d (y - x) d x + (x + y) d y