erweitern (cos(x)+1)^2

Lösung

erweitern

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

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

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

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

= cos^{2} (x) + 2 cos (x) + 1

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

e x p an d \frac{1}{2} (- \frac{ln ( 5 x )}{2 x ^{2}} - \frac{1}{4 x ^{2}})

s im pl i f y (3 - i)^{7}

e x p an d \frac{( - 3 + 2 i ) ^{5}}{( - 5 3 + 15 i ) ^{7}}

e x p an d [(3 x + 4 + 2 x) (3 x^{2} + 2 x - 8)]