erweitern (sec(x)-1)^2

Lösung

erweitern

(sec (x) - 1)^{2}

sec^{2} (x) - 2 sec (x) + 1

Schritte zur Lösung

(sec (x) - 1)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(sec (x) - 1)^{2} = sec^{2} (x) - 2 sec (x) \cdot 1 + 1^{2}

= sec^{2} (x) - 2 sec (x) \cdot 1 + 1^{2}

Vereinfache

sec^{2} (x) - 2 sec (x) \cdot 1 + 1^{2} : sec^{2} (x) - 2 sec (x) + 1

= sec^{2} (x) - 2 sec (x) + 1

s im pl i f y (x + 2 i)^{2}

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

e x p an d cos (θ) (csc (θ) - sec (θ))

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

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