erweitern (32x^2)/((x-6)(x+2)^2)

Lösung

erweitern

\frac{32 x ^{2}}{( x - 6 ) ( x + 2 ) ^{2}}

\frac{32 x ^{2}}{x ^{3} - 2 x ^{2} - 20 x - 24}

Schritte zur Lösung

\frac{32 x ^{2}}{( x - 6 ) ( x + 2 ) ^{2}}

(x + 2)^{2} = x^{2} + 4 x + 4

= \frac{32 x ^{2}}{( x - 6 ) ( x ^{2} + 4 x + 4 )}

Multipliziere aus

(x - 6) (x^{2} + 4 x + 4) : x^{3} - 2 x^{2} - 20 x - 24

= \frac{32 x ^{2}}{x ^{3} - 2 x ^{2} - 20 x - 24}

e x p an d \frac{x}{( s ^{2} + x ^{2} ) ( s ^{2} + 4 s + 13 )}

s im pl i f y \frac{k ( s + 0.5 )}{( s + 1 ) ( s ^{2} + 2 s ) + k ( s + 0.5 )}

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

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

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