Algebravorstufe Beispiele

$\frac{x^{2} + 8 x - 15}{{(x - 5)}^{2} (x + 5)}$

Schritt 1

Zerlege den Bruch $\frac{x^{2} + 8 x - 15}{{(x - 5)}^{2} (x + 5)}$ in zwei Brüche.

$\frac{x^{2} + 8 x}{{(x - 5)}^{2} (x + 5)} + \frac{- 15}{{(x - 5)}^{2} (x + 5)}$

Schritt 2

Zerlege den Bruch $\frac{x^{2} + 8 x}{{(x - 5)}^{2} (x + 5)}$ in zwei Brüche.

$\frac{x^{2}}{{(x - 5)}^{2} (x + 5)} + \frac{8 x}{{(x - 5)}^{2} (x + 5)} + \frac{- 15}{{(x - 5)}^{2} (x + 5)}$

Schritt 3

Ziehe das Minuszeichen vor den Bruch.

$\frac{x^{2}}{{(x - 5)}^{2} (x + 5)} + \frac{8 x}{{(x - 5)}^{2} (x + 5)} - \frac{15}{{(x - 5)}^{2} (x + 5)}$