erweitern-(x^2(2x^6+7))/(196)

Lösung

erweitern

- \frac{x ^{2} ( 2 x ^{6} + 7 )}{196}

- \frac{x ^{8}}{98} - \frac{x ^{2}}{28}

Schritte zur Lösung

- \frac{x ^{2} ( 2 x ^{6} + 7 )}{196}

Multipliziere aus

x^{2} (2 x^{6} + 7) : 2 x^{8} + 7 x^{2}

= - \frac{2 x ^{8} + 7 x ^{2}}{196}

Wende Bruchregel an:

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

\frac{2 x ^{8} + 7 x ^{2}}{196} = - (\frac{2 x ^{8}}{196}) - (\frac{7 x ^{2}}{196})

= - (\frac{2 x ^{8}}{196}) - (\frac{7 x ^{2}}{196})

Entferne die Klammern:

(a) = a

= - \frac{2 x ^{8}}{196} - \frac{7 x ^{2}}{196}

Streiche

\frac{2 x ^{8}}{196} : \frac{x ^{8}}{98}

= - \frac{x ^{8}}{98} - \frac{7 x ^{2}}{196}

Streiche

\frac{7 x ^{2}}{196} : \frac{x ^{2}}{28}

= - \frac{x ^{8}}{98} - \frac{x ^{2}}{28}

e x p an d (1 + csc (y))^{2}

e x p an d \frac{6 ( s + 2 )}{( s ^{2} + 9 s + 20 ) ( s + 4 )}

e x p an d \frac{x ( 3 x ^{2} + 5 x + 3 )}{( x + 1 )}

e x p an d (3 e^{x} - 2 x) (x^{3} - 1)

e x p an d - \frac{10 ( - x ^{2} - 12 )}{( x ^{2} - 4 ) ^{3}}