erweitern (x^2(x+4))/((x-1)(x+2))

Lösung

erweitern

\frac{x ^{2} ( x + 4 )}{( x - 1 ) ( x + 2 )}

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

Schritte zur Lösung

\frac{x ^{2} ( x + 4 )}{( x - 1 ) ( x + 2 )}

Multipliziere aus

(x - 1) (x + 2) : x^{2} + x - 2

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

Multipliziere aus

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

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

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

e x p an d \frac{s ^{2} - 25}{( s ^{2} + 25 ) ^{2}}

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

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

e x p an d \frac{x \cdot ( x - 1 ) \cdot ( x - 2 )}{6}