erweitern (7x+2)/((x+2)^2(x-2))

Lösung

erweitern

\frac{7 x + 2}{( x + 2 ) ^{2} ( x - 2 )}

\frac{7 x + 2}{x ^{3} + 2 x ^{2} - 4 x - 8}

Schritte zur Lösung

\frac{7 x + 2}{( x + 2 ) ^{2} ( x - 2 )}

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

= \frac{7 x + 2}{( x ^{2} + 4 x + 4 ) ( x - 2 )}

Multipliziere aus

(x^{2} + 4 x + 4) (x - 2) : x^{3} + 2 x^{2} - 4 x - 8

= \frac{7 x + 2}{x ^{3} + 2 x ^{2} - 4 x - 8}

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

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

e x p an d \frac{π}{2} (x - 3)

e x p an d \frac{x ^{3} - 5 x}{( 1 - x ) ^{3}}

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