erweitern-(9(y^2+9x^2))/(y^3)

Lösung

erweitern

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

- \frac{9}{y} - \frac{81 x ^{2}}{y ^{3}}

Schritte zur Lösung

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

Multipliziere aus

9 (y^{2} + 9 x^{2}) : 9 y^{2} + 81 x^{2}

= - \frac{9 y ^{2} + 81 x ^{2}}{y ^{3}}

Wende Bruchregel an:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{9 y ^{2} + 81 x ^{2}}{y ^{3}} = - (\frac{9 y ^{2}}{y ^{3}}) - (\frac{81 x ^{2}}{y ^{3}})

= - (\frac{9 y ^{2}}{y ^{3}}) - (\frac{81 x ^{2}}{y ^{3}})

Entferne die Klammern:

(a) = a

= - \frac{9 y ^{2}}{y ^{3}} - \frac{81 x ^{2}}{y ^{3}}

Streiche

\frac{9 y ^{2}}{y ^{3}} : \frac{9}{y}

= - \frac{9}{y} - \frac{81 x ^{2}}{y ^{3}}

e x p an d x (1 - lo g_{10} (5))

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

e x p an d (4 ln (x) + c) (x^{2})

e x p an d x (u - 2) (u d x + x d u)

e x p an d \frac{3 x + 1}{2 ( - 1 + 4 x )}