erweitern (×+1/2)(x-1/2)

Lösung

erweitern

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

\frac{x}{2} - \frac{1}{4}

Schritte zur Lösung

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

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = (\frac{1}{2}), b = x, c = \frac{1}{2}

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

Vereinfache

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

= \frac{x}{2} - \frac{1}{4}

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