erweitern ((4-x^2)^2)/(16)

Lösung

erweitern

\frac{( 4 - x ^{2} ) ^{2}}{16}

\frac{x ^{4}}{16} - \frac{x ^{2}}{2} + 1

Schritte zur Lösung

\frac{( 4 - x ^{2} ) ^{2}}{16}

(4 - x^{2})^{2} = 16 - 8 x^{2} + x^{4}

= \frac{16 - 8 x ^{2} + x ^{4}}{16}

Wende Bruchregel an:

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

\frac{16 - 8 x ^{2} + x ^{4}}{16} = \frac{16}{16} - \frac{8 x ^{2}}{16} + \frac{x ^{4}}{16}

= \frac{16}{16} - \frac{8 x ^{2}}{16} + \frac{x ^{4}}{16}

Wende Regel an

\frac{a}{a} = 1

\frac{16}{16} = 1

= 1 - \frac{8 x ^{2}}{16} + \frac{x ^{4}}{16}

Streiche

\frac{8 x ^{2}}{16} : \frac{x ^{2}}{2}

= 1 - \frac{x ^{2}}{2} + \frac{x ^{4}}{16}

Rewrite in standard form

= \frac{x ^{4}}{16} - \frac{x ^{2}}{2} + 1

e x p an d \frac{x d x}{( x + 1 ) ^{8}}

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

e x p an d (5 x + 5 y + 5 z = 60,) (- 4 x - 5 y + 3 z = 17)

e x p an d \frac{( E - E - V ) ^{4}}{V ^{2}}

e x p an d \frac{( 2 y - y ^{2} ) ^{2}}{2}