erweitern (3sin(x)-4cos(x))^2

Lösung

erweitern

(3 sin (x) - 4 cos (x))^{2}

9 sin^{2} (x) - 24 cos (x) sin (x) + 16 cos^{2} (x)

Schritte zur Lösung

(3 sin (x) - 4 cos (x))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(3 sin (x) - 4 cos (x))^{2} = (3 sin (x))^{2} - 2 \cdot 3 sin (x) \cdot 4 cos (x) + (4 cos (x))^{2}

= (3 sin (x))^{2} - 2 \cdot 3 sin (x) \cdot 4 cos (x) + (4 cos (x))^{2}

Vereinfache

(3 sin (x))^{2} - 2 \cdot 3 sin (x) \cdot 4 cos (x) + (4 cos (x))^{2} : 9 sin^{2} (x) - 24 cos (x) sin (x) + 16 cos^{2} (x)

= 9 sin^{2} (x) - 24 cos (x) sin (x) + 16 cos^{2} (x)

e x p an d lo g_{10} (b) (\frac{x ^{2} y}{z ^{9}})

s im pl i f y (2 + x - 4)^{2}

s im pl i f y (x + \frac{1}{4}) (x - \frac{1}{2})

\frac{\partial}{\partial v} ((x) (- v + 2 u + 2))

s im pl i f y - sin^{2} (x) (y + \frac{1}{z})^{2}