erweitern ((1+x)/(1-x))^2

Lösung

erweitern

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

\frac{1 + 2 x + x ^{2}}{1 - 2 x + x ^{2}}

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

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

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

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

= \frac{1 + 2 x + x ^{2}}{1 - 2 x + x ^{2}}

e x p an d \frac{2 x + 4}{( x ^{2} + x + 1 ) ^{2}}

e x p an d ((a + b F + c F^{2})^{2}) F^{2} \cdot (1 - d F - e F^{2})

e x p an d (tan (θ) + 1) (cos (θ) - 1)

s im pl i f y (x) (x + 1)

e x p an d 6 (3 x + 5 y = 131)