vereinfachen ((x(x^2-4)^{1/2})/2)^2

Lösung

vereinfachen

\frac{x ( x ^{2} - 4 ) ^{\frac{1}{2}}}{2}^{2}

\frac{x ^{2} ( x ^{2} - 4 )}{4}

Schritte zur Lösung

\frac{x ( x ^{2} - 4 ) ^{\frac{1}{2}}}{2}^{2}

Wende Exponentenregel an:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x ( x ^{2} - 4 ) ^{\frac{1}{2}} ) ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{( x ( x ^{2} - 4 ) ^{\frac{1}{2}} ) ^{2}}{4}

(x (x^{2} - 4)^{\frac{1}{2}})^{2} = x^{2} (x^{2} - 4)

= \frac{x ^{2} ( x ^{2} - 4 )}{4}

- 5 (- 1)^{2}

s im pl i f y (- \frac{1}{12})^{2}

2 x + x = 54

x^{2} - 3 x - 1 = - 3 x + 3

f a c t or y^{2} + y