erweitern sin(x/2)(2sin(x/2)-1)

Lösung

erweitern

sin (\frac{x}{2}) (2 sin (\frac{x}{2}) - 1)

2 sin^{2} (\frac{x}{2}) - sin (\frac{x}{2})

Schritte zur Lösung

sin (\frac{x}{2}) (2 sin (\frac{x}{2}) - 1)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

sin (\frac{x}{2}) (2 sin (\frac{x}{2}) - 1) = sin (\frac{x}{2}) \cdot 2 sin (\frac{x}{2}) - sin (\frac{x}{2}) \cdot 1

= sin (\frac{x}{2}) \cdot 2 sin (\frac{x}{2}) - sin (\frac{x}{2}) \cdot 1

sin (\frac{x}{2}) \cdot 2 sin (\frac{x}{2}) = 2 sin^{2} (\frac{x}{2})

sin (\frac{x}{2}) \cdot 1 = sin (\frac{x}{2})

= 2 sin^{2} (\frac{x}{2}) - sin (\frac{x}{2})

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

e x p an d (2 x + \frac{1}{3 x})^{18}

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

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

s im pl i f y (x - 8 - 5) (x - 8 + 5)