erweitern ((4-r^2)^2)/2

Lösung

erweitern

\frac{( 4 - r ^{2} ) ^{2}}{2}

\frac{r ^{4}}{2} - 4 r^{2} + 8

Schritte zur Lösung

\frac{( 4 - r ^{2} ) ^{2}}{2}

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

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

Wende Bruchregel an:

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

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

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

Teile die Zahlen:

\frac{16}{2} = 8

= 8 - \frac{8 r ^{2}}{2} + \frac{r ^{4}}{2}

Teile die Zahlen:

\frac{8}{2} = 4

= 8 - 4 r^{2} + \frac{r ^{4}}{2}

Rewrite in standard form

= \frac{r ^{4}}{2} - 4 r^{2} + 8

\frac{d ^{2}}{d x ^{2}} ((y) y^{2} (6 - 2 x))

s im pl i f y (3 p - 5) (p + 55)

s im pl i f y (x + 4) (sin (6 x)) (cot (x^{2} + 4 x))

e x p an d (x^{2} - 2 x y + 3 y^{2}) d x + (y^{2} + 6 x y - x^{2}) d y

e x p an d \frac{2 x ^{2} - 4 x - 3}{( x + 1 ) ( 2 x - 1 )}