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

Lösung

erweitern

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

\frac{x ^{2} - 2 x - 1}{x ^{3} - 3 x + 2}

Schritte zur Lösung

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

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

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

Multipliziere aus

(x^{2} - 2 x + 1) (x + 2) : x^{3} - 3 x + 2

= \frac{x ^{2} - 2 x - 1}{x ^{3} - 3 x + 2}

e x p an d (k + 1)! \cdot (k + 2) - 1

e x p an d \frac{2 - x - 3}{( x + 7 ) ( x - 7 )}

e x p an d \frac{lo g _{10} ( x )}{( lo g _{10} ( x ) + 1 ) ^{2}}

e x p an d \frac{x ^{3} - 8 x ^{2} - 1}{( x + 3 ) ( x - 2 ) ( x ^{2} + 1 )}

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