erweitern (cos(3x)+3)^2

Lösung

erweitern

(cos (3 x) + 3)^{2}

cos^{2} (3 x) + 6 cos (3 x) + 9

Schritte zur Lösung

(cos (3 x) + 3)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(cos (3 x) + 3)^{2} = cos^{2} (3 x) + 2 cos (3 x) \cdot 3 + 3^{2}

= cos^{2} (3 x) + 2 cos (3 x) \cdot 3 + 3^{2}

Vereinfache

cos^{2} (3 x) + 2 cos (3 x) \cdot 3 + 3^{2} : cos^{2} (3 x) + 6 cos (3 x) + 9

= cos^{2} (3 x) + 6 cos (3 x) + 9

s im pl i f y \frac{1}{2} + \frac{3}{32} (4 (0.4) - \frac{( 0.4 ) ^{3}}{3})

e x p an d \frac{20}{( x + 3 ) ( x - 5 )}

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

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

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