erweitern cos((1-t^6)*(t^4-2t)^2)

Lösung

erweitern

cos ((1 - t^{6}) \cdot (t^{4} - 2 t)^{2})

cos (- t^{14} + 4 t^{11} - 3 t^{8} - 4 t^{5} + 4 t^{2})

Schritte zur Lösung

cos ((1 - t^{6}) (t^{4} - 2 t)^{2})

(t^{4} - 2 t)^{2} = t^{8} - 4 t^{5} + 4 t^{2}

= cos ((- t^{6} + 1) (t^{8} - 4 t^{5} + 4 t^{2}))

Multipliziere aus

(1 - t^{6}) (t^{8} - 4 t^{5} + 4 t^{2}) : - t^{14} + 4 t^{11} - 3 t^{8} - 4 t^{5} + 4 t^{2}

= cos (- t^{14} + 4 t^{11} - 3 t^{8} - 4 t^{5} + 4 t^{2})

e x p an d (2 x + 5) e^{(x)}

e x p an d \frac{( p x ^{2} + r + b x ) ( - k - m x ^{2} - b x - r )}{r + b x}

e x p an d \frac{4 x ^{3} + 9 x ^{2} - 17 x - 5}{( 2 x - 3 ) ( x ^{2} + 1 )}

e x p an d \frac{θ + α θ ^{2} - α ^{2} θ ^{3}}{( 1 - α θ ) ^{3}}

e x p an d \frac{2 l ( ( - 1 ) ^{n} - 1 )}{π ^{2} n ^{2}}