erweitern (3(12n^2+15n+3))/(2n^2)

Lösung

erweitern

\frac{3 ( 12 n ^{2} + 15 n + 3 )}{2 n ^{2}}

18 + \frac{45}{2 n} + \frac{9}{2 n ^{2}}

Schritte zur Lösung

\frac{3 ( 12 n ^{2} + 15 n + 3 )}{2 n ^{2}}

Multipliziere aus

3 (12 n^{2} + 15 n + 3) : 36 n^{2} + 45 n + 9

= \frac{36 n ^{2} + 45 n + 9}{2 n ^{2}}

Wende Bruchregel an:

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

\frac{36 n ^{2} + 45 n + 9}{2 n ^{2}} = \frac{36 n ^{2}}{2 n ^{2}} + \frac{45 n}{2 n ^{2}} + \frac{9}{2 n ^{2}}

= \frac{36 n ^{2}}{2 n ^{2}} + \frac{45 n}{2 n ^{2}} + \frac{9}{2 n ^{2}}

Streiche

\frac{36 n ^{2}}{2 n ^{2}} : 18

= 18 + \frac{45 n}{2 n ^{2}} + \frac{9}{2 n ^{2}}

Streiche

\frac{45 n}{2 n ^{2}} : \frac{45}{2 n}

= 18 + \frac{45}{2 n} + \frac{9}{2 n ^{2}}

e x p an d \frac{- 22 s - 8}{( s + 4 ) ( s ^{2} + 4 )}

s im pl i f y 2 (x + 3 - (1 + x) 5 + 4 x - 1 + x)

s im pl i f y (2 x^{3} + 6 x + 1)^{2}

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

\frac{d}{d x} ((t) (e^{t} (sin (t) + cos (t))))