erweitern (tcos(t)+2sin(t))^2

Lösung

erweitern

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

t^{2} cos^{2} (t) + 4 t cos (t) sin (t) + 4 sin^{2} (t)

Schritte zur Lösung

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

Wende Formel für perfekte quadratische Gleichungen an:

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

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

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

Vereinfache

(t cos (t))^{2} + 2 t cos (t) \cdot 2 sin (t) + (2 sin (t))^{2} : t^{2} cos^{2} (t) + 4 t cos (t) sin (t) + 4 sin^{2} (t)

= t^{2} cos^{2} (t) + 4 t cos (t) sin (t) + 4 sin^{2} (t)

e x p an d \frac{x ^{2} - 9}{x ^{2} ( x + 4 )}

e x p an d \frac{s ^{3} + 2 s + 6}{s ( s + 1 ) ^{2} ( s + 3 )}

e x p an d lo g_{2} (4^{x^{2}} + 4^{(x - 1)^{2}})

s im pl i f y (y^{2} - z^{2}) (y^{2} - z^{2})

e x p an d (- 2, - 3, - 1) y (3, - 4, - 2)