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

Lösung

erweitern

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

cos^{2} (2 t) + 6 cos (2 t) cos (t) + 9 cos^{2} (t)

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

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

= cos^{2} (2 t) + 6 cos (2 t) cos (t) + 9 cos^{2} (t)

e x p an d (- (2, 4) - (2, - 6)) w

e x p an d (s + s^{'})^{12}

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

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

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