vereinfachen 1+1z^{-1}-0.2z^{-2}

Lösung

vereinfachen

1 + 1 z^{- 1} - 0.2 z^{- 2}

1 + \frac{1}{z} - \frac{1}{5 z ^{2}}

Schritte zur Lösung

1 + 1 \cdot z^{- 1} - 0.2 z^{- 2}

1 \cdot z^{- 1} = \frac{1}{z}

0.2 z^{- 2} = 0.2 \cdot \frac{1}{z ^{2}}

= 1 + \frac{1}{z} - 0.2 \cdot \frac{1}{z ^{2}}

Vereinfache

0.2 \cdot \frac{1}{z ^{2}} : \frac{2}{10 z ^{2}}

= 1 + \frac{1}{z} - \frac{2}{10 z ^{2}}

Streiche

\frac{2}{10} : \frac{1}{5}

= 1 + \frac{1}{z} - \frac{1}{5 z ^{2}}

f a c t or x^{3} + x + 10

e x p an d (a - b (c + d)^{2})^{3}

e x p an d x^{2} + (2 k - 1) x + (k^{2} + 2)

f a c t or 100 m^{2} n^{3} - 50 m^{3} n^{4} + 150 m^{2} n^{2}

s im pl i f y (x^{4} \cdot y^{2} + x^{2} \cdot y^{4})^{2} - 4 x^{6} \cdot y^{6}