erweitern (3*(-x^2+3))/(x^4)

Lösung

erweitern

\frac{3 \cdot ( - x ^{2} + 3 )}{x ^{4}}

- \frac{3}{x ^{2}} + \frac{9}{x ^{4}}

Schritte zur Lösung

\frac{3 ( - x ^{2} + 3 )}{x ^{4}}

Multipliziere aus

3 (- x^{2} + 3) : - 3 x^{2} + 9

= \frac{- 3 x ^{2} + 9}{x ^{4}}

Wende Bruchregel an:

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

\frac{- 3 x ^{2} + 9}{x ^{4}} = - \frac{3 x ^{2}}{x ^{4}} + \frac{9}{x ^{4}}

= - \frac{3 x ^{2}}{x ^{4}} + \frac{9}{x ^{4}}

Streiche

\frac{3 x ^{2}}{x ^{4}} : \frac{3}{x ^{2}}

= - \frac{3}{x ^{2}} + \frac{9}{x ^{4}}

e x p an d \frac{2 ( 3354 - 27 )}{3}

e x p an d \frac{( s + 1.5 ) ( s - 3 )}{( s + 3 ) ( s + 2 ) ( s + 1 )}

e x p an d \frac{( - B + d - 2 \cdot c )}{( B + d + 2 \cdot a )}

e x p an d \frac{x ^{2} + 12}{( x ^{2} + 9 ) ( x ^{3} + 2 x ^{2} - x - 2 )}

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