erweitern (2(x^4+18))/(x^4)

Lösung

erweitern

\frac{2 ( x ^{4} + 18 )}{x ^{4}}

2 + \frac{36}{x ^{4}}

Schritte zur Lösung

\frac{2 ( x ^{4} + 18 )}{x ^{4}}

Multipliziere aus

2 (x^{4} + 18) : 2 x^{4} + 36

= \frac{2 x ^{4} + 36}{x ^{4}}

Wende Bruchregel an:

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

\frac{2 x ^{4} + 36}{x ^{4}} = \frac{2 x ^{4}}{x ^{4}} + \frac{36}{x ^{4}}

= \frac{2 x ^{4}}{x ^{4}} + \frac{36}{x ^{4}}

Streiche

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

= 2 + \frac{36}{x ^{4}}

e x p an d \frac{x ^{4}}{( x ^{2} - x + 1 ) ( x ^{2} + 5 ) ^{2}}

e x p an d \frac{( x + y ) ^{2}}{x ^{2} + y ^{2}}

\frac{d}{d t} ((x) (2 + 0.05 t))

e x p an d sin^{2} (x) (cot (x) - csc (x))

e x p an d \frac{13}{2} (e^{3 t} - e^{- 3 t})