erweitern (1+x)^{1/2}(1+x)^{1/2}

Lösung

erweitern

(1 + x)^{\frac{1}{2}} (1 + x)^{\frac{1}{2}}

1 + x

Schritte zur Lösung

(1 + x)^{\frac{1}{2}} (1 + x)^{\frac{1}{2}}

Wende Exponentenregel an:

a^{b} \cdot a^{c} = a^{b + c}

(1 + x)^{\frac{1}{2}} (1 + x)^{\frac{1}{2}} = (1 + x)^{\frac{1}{2} + \frac{1}{2}}

= (1 + x)^{\frac{1}{2} + \frac{1}{2}}

Addiere gleiche Elemente:

\frac{1}{2} + \frac{1}{2} = 2 \cdot \frac{1}{2}

= (1 + x)^{2 \cdot \frac{1}{2}}

Multipliziere

2 \cdot \frac{1}{2} : 1

= (1 + x)^{1}

Wende Regel an

a^{1} = a

= 1 + x

e x p an d (3 x + 1)^{\circ} (3 x - 1) x

s im pl i f y v (\frac{( 1 + v ^{2} ) ^{5}}{5} - v^{9})

e x p an d \frac{x y \cdot ( 32 - x y )}{( x + y )}

e x p an d 3 (t - \frac{π}{4})

e x p an d (x^{2}) (x^{3} - 5 e^{- 2 x} - 2 x^{\frac{1}{2}})