erweitern ((x^4+3)^2)/(12)

Lösung

erweitern

\frac{( x ^{4} + 3 ) ^{2}}{12}

\frac{x ^{8}}{12} + \frac{x ^{4}}{2} + \frac{3}{4}

Schritte zur Lösung

\frac{( x ^{4} + 3 ) ^{2}}{12}

(x^{4} + 3)^{2} = x^{8} + 6 x^{4} + 9

= \frac{x ^{8} + 6 x ^{4} + 9}{12}

Wende Bruchregel an:

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

\frac{x ^{8} + 6 x ^{4} + 9}{12} = \frac{x ^{8}}{12} + \frac{6 x ^{4}}{12} + \frac{9}{12}

= \frac{x ^{8}}{12} + \frac{6 x ^{4}}{12} + \frac{9}{12}

Streiche

\frac{6 x ^{4}}{12} : \frac{x ^{4}}{2}

= \frac{x ^{8}}{12} + \frac{x ^{4}}{2} + \frac{9}{12}

Streiche

\frac{9}{12} : \frac{3}{4}

= \frac{x ^{8}}{12} + \frac{x ^{4}}{2} + \frac{3}{4}

s im pl i f y e^{i (5 x + \frac{π}{2})}

e x p an d 5 (10 v - 8 w = 4)

e x p an d a (ln (x) + 1)

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

e x p an d (x^{3} + y^{3}) se