erweitern ((-4+y^2)^2)/(32)

Lösung

erweitern

\frac{( - 4 + y ^{2} ) ^{2}}{32}

\frac{y ^{4}}{32} - \frac{y ^{2}}{4} + \frac{1}{2}

Schritte zur Lösung

\frac{( - 4 + y ^{2} ) ^{2}}{32}

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

= \frac{16 - 8 y ^{2} + y ^{4}}{32}

Wende Bruchregel an:

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

\frac{16 - 8 y ^{2} + y ^{4}}{32} = \frac{16}{32} - \frac{8 y ^{2}}{32} + \frac{y ^{4}}{32}

= \frac{16}{32} - \frac{8 y ^{2}}{32} + \frac{y ^{4}}{32}

Streiche

\frac{16}{32} : \frac{1}{2}

= \frac{1}{2} - \frac{8 y ^{2}}{32} + \frac{y ^{4}}{32}

Streiche

\frac{8 y ^{2}}{32} : \frac{y ^{2}}{4}

= \frac{1}{2} - \frac{y ^{2}}{4} + \frac{y ^{4}}{32}

Rewrite in standard form

= \frac{y ^{4}}{32} - \frac{y ^{2}}{4} + \frac{1}{2}

e x p an d ln (4 x 2 - 20 x + 24)

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

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

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

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