Algebra Beispiele

(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) {(2 x^{3} y)}^{- 1}

$(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) {(2 x^{3} y)}^{- 1}$

Schritt 1

Schreibe den Ausdruck um mithilfe der Regel des negativen Exponenten

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) \frac{1}{2 x^{3} y}

$(12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}) \frac{1}{2 x^{3} y}$

Schritt 2

Mutltipliziere

12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}

$12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}$ mit

\frac{1}{2 x^{3} y}

$\frac{1}{2 x^{3} y}$ .

\frac{12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}}{2 x^{3} y}

$\frac{12 x^{3} - 16 x^{2} y + 3 x y^{2} + 9 y^{2}}{2 x^{3} y}$