erweitern (3x^2(3x^2+2x^4))/8

Lösung

erweitern

\frac{3 x ^{2} ( 3 x ^{2} + 2 x ^{4} )}{8}

\frac{3 x ^{6}}{4} + \frac{9 x ^{4}}{8}

Schritte zur Lösung

\frac{3 x ^{2} ( 3 x ^{2} + 2 x ^{4} )}{8}

Multipliziere aus

3 x^{2} (3 x^{2} + 2 x^{4}) : 9 x^{4} + 6 x^{6}

= \frac{9 x ^{4} + 6 x ^{6}}{8}

Wende Bruchregel an:

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

\frac{9 x ^{4} + 6 x ^{6}}{8} = \frac{9 x ^{4}}{8} + \frac{6 x ^{6}}{8}

= \frac{9 x ^{4}}{8} + \frac{6 x ^{6}}{8}

Streiche

\frac{6 x ^{6}}{8} : \frac{3 x ^{6}}{4}

= \frac{9 x ^{4}}{8} + \frac{3 x ^{6}}{4}

Rewrite in standard form

= \frac{3 x ^{6}}{4} + \frac{9 x ^{4}}{8}

e x p an d \frac{( s + 2 )}{( s ^{2} + 4 s + 3 ) \cdot ( s + 5 )}

e x p an d \frac{4 s + 1}{5 ( s ^{2} + 2 s + 2 )}

e x p an d - \frac{( 5 x ^{2} + 3 x - 17 )}{( x ^{2} - 7 ) ( x + 6 )}

\frac{\partial}{\partial x} ((z) (x + sin (x + z)))

e x p an d \frac{1}{( ( s - 1 ) ( s ^{2} + 1 ) )}