vereinfachen (sqrt(1+sin(x))-sqrt(1-sin(x)))^2

Lösung

vereinfachen

(1 + sin (x) - 1 - sin (x))^{2}

- 2 1 + sin (x) 1 - sin (x) + 2

Schritte zur Lösung

(1 + sin (x) - 1 - sin (x))^{2}

Wende Formel für perfekte quadratische Gleichungen an:

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

(1 + sin (x) - 1 - sin (x))^{2} = (1 + sin (x))^{2} - 2 1 + sin (x) 1 - sin (x) + (1 - sin (x))^{2}

= (1 + sin (x))^{2} - 2 1 + sin (x) 1 - sin (x) + (1 - sin (x))^{2}

Vereinfache

(1 + sin (x))^{2} - 2 1 + sin (x) 1 - sin (x) + (1 - sin (x))^{2} : - 2 1 + sin (x) 1 - sin (x) + 2

= - 2 1 + sin (x) 1 - sin (x) + 2

e x p an d \frac{( s ^{2} + s + 0.1 ) \cdot k}{s}

\frac{d ^{4}}{d y ^{4}} ((x) ((2 x + 1)^{4}))

e x p an d (3 - \frac{2}{z}) (z - 1)

e x p an d 3 (w)

e x p an d (6 x^{2} + \frac{5}{x})^{8}