erweitern ((2x^2+9)(x^2+2))/(x^2)

Lösung

erweitern

\frac{( 2 x ^{2} + 9 ) ( x ^{2} + 2 )}{x ^{2}}

2 x^{2} + 13 + \frac{18}{x ^{2}}

Schritte zur Lösung

\frac{( 2 x ^{2} + 9 ) ( x ^{2} + 2 )}{x ^{2}}

Multipliziere aus

(2 x^{2} + 9) (x^{2} + 2) : 2 x^{4} + 13 x^{2} + 18

= \frac{2 x ^{4} + 13 x ^{2} + 18}{x ^{2}}

Wende Bruchregel an:

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

\frac{2 x ^{4} + 13 x ^{2} + 18}{x ^{2}} = \frac{2 x ^{4}}{x ^{2}} + \frac{13 x ^{2}}{x ^{2}} + \frac{18}{x ^{2}}

= \frac{2 x ^{4}}{x ^{2}} + \frac{13 x ^{2}}{x ^{2}} + \frac{18}{x ^{2}}

Streiche

\frac{2 x ^{4}}{x ^{2}} : 2 x^{2}

= 2 x^{2} + \frac{13 x ^{2}}{x ^{2}} + \frac{18}{x ^{2}}

Streiche

\frac{13 x ^{2}}{x ^{2}} : 13

= 2 x^{2} + 13 + \frac{18}{x ^{2}}

e x p an d \frac{8 e ^{- s} - 1}{4 ( 2 - 3 s + s ^{2} )}

\frac{\partial}{\partial y} ((x) (2 x + y cos (x y)))

s im pl i f y f (p - \frac{1}{4})

e x p an d \frac{( 2 h + 8 )}{( 7 h - 4 ) ( h - 1 )}

e x p an d \frac{( - 2 + 6 ) 2 6 + 5}{2}