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

Lösung

vereinfachen

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

x (2 x^{2} - 2)

Schritte zur Lösung

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

Wende Formel zur Differenz von zwei Quadraten an:

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

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

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

Vereinfache

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

= x (2 x^{2} - 2)

e x p an d l im x \Rightarrow 1 (1 - x) tan (\frac{π x}{2})

e x p an d (x + 15 + 16 i) (x + 15 - 16 i)

e x p an d \frac{1 - ( - 1 ) ^{n}}{n}

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

e x p an d \frac{w ^{2} + 6 w + 18}{( w + 6 ) ( w + 4 )}