erweitern (20x^2-60x+46)/((x+1)(2x-5)(x-1))

Lösung

erweitern

\frac{20 x ^{2} - 60 x + 46}{( x + 1 ) ( 2 x - 5 ) ( x - 1 )}

\frac{20 x ^{2} - 60 x + 46}{2 x ^{3} - 5 x ^{2} - 2 x + 5}

Schritte zur Lösung

\frac{20 x ^{2} - 60 x + 46}{( x + 1 ) ( 2 x - 5 ) ( x - 1 )}

Multipliziere aus

(x + 1) (2 x - 5) (x - 1) : 2 x^{3} - 5 x^{2} - 2 x + 5

= \frac{20 x ^{2} - 60 x + 46}{2 x ^{3} - 5 x ^{2} - 2 x + 5}

e x p an d \frac{24 x ^{2} + 168 x + 288}{8 x + 24}

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

e x p an d (x + 1) 3 x^{2} + 2 x + 5 d x

e x p an d \frac{y + 6}{y ^{2} ( y + 1 )}

e x p an d \frac{0.5 x}{( x - 0.5 ) ( z - 1 )}