erweitern (sec^2(x)+1)^2

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

(sec^{2} (x))^{2} + 2 sec^{2} (x) \cdot 1 + 1^{2} : sec^{4} (x) + 2 sec^{2} (x) + 1

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

e x p an d \frac{10 ( 1229 - 2 )}{49}

s im pl i f y \frac{- e ^{ik} ( ik - 1 ) + e ^{- ik} ( - ik - 1 )}{k ^{2}}

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

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

e x p an d (y + 1) (x^{2} + ln (x))