erweitern (8(2x+1)(x+1))/(3x^2)

Lösung

erweitern

\frac{8 ( 2 x + 1 ) ( x + 1 )}{3 x ^{2}}

\frac{16}{3} + \frac{8}{x} + \frac{8}{3 x ^{2}}

Schritte zur Lösung

\frac{8 ( 2 x + 1 ) ( x + 1 )}{3 x ^{2}}

Multipliziere aus

8 (2 x + 1) (x + 1) : 16 x^{2} + 24 x + 8

= \frac{16 x ^{2} + 24 x + 8}{3 x ^{2}}

Wende Bruchregel an:

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

\frac{16 x ^{2} + 24 x + 8}{3 x ^{2}} = \frac{16 x ^{2}}{3 x ^{2}} + \frac{24 x}{3 x ^{2}} + \frac{8}{3 x ^{2}}

= \frac{16 x ^{2}}{3 x ^{2}} + \frac{24 x}{3 x ^{2}} + \frac{8}{3 x ^{2}}

Streiche

\frac{16 x ^{2}}{3 x ^{2}} : \frac{16}{3}

= \frac{16}{3} + \frac{24 x}{3 x ^{2}} + \frac{8}{3 x ^{2}}

Streiche

\frac{24 x}{3 x ^{2}} : \frac{8}{x}

= \frac{16}{3} + \frac{8}{x} + \frac{8}{3 x ^{2}}

e x p an d (x - 2 y = 6, 3) (x - 6 y = 18)

e x p an d \frac{5 ( 11257 - 75 )}{64}

e x p an d 2 \frac{1}{4} (- 15.2)

e x p an d (x + 1) d y - (3 y + (x + 1)^{4}) d x

e x p an d, (- 5 - 2 i) - (2 + 3 i)