erweitern (6+26x-x^2)/((2x-1)(x+2)^2)

Lösung

erweitern

\frac{6 + 26 x - x ^{2}}{( 2 x - 1 ) ( x + 2 ) ^{2}}

\frac{6 + 26 x - x ^{2}}{2 x ^{3} + 7 x ^{2} + 4 x - 4}

Schritte zur Lösung

\frac{6 + 26 x - x ^{2}}{( 2 x - 1 ) ( x + 2 ) ^{2}}

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

= \frac{6 + 26 x - x ^{2}}{( 2 x - 1 ) ( x ^{2} + 4 x + 4 )}

Multipliziere aus

(2 x - 1) (x^{2} + 4 x + 4) : 2 x^{3} + 7 x^{2} + 4 x - 4

= \frac{6 + 26 x - x ^{2}}{2 x ^{3} + 7 x ^{2} + 4 x - 4}

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

e x p an d π \cdot sin (b) \cdot k \cdot (cos^{2} (a) + 2 \cdot cos (a) + k^{2})

e x p an d so l v e (x^{3} - 9 x - 7 = 0)

e x p an d \frac{( 25 - 5 x ) ( x + 1 )}{2 x}

e x p an d \frac{8 ( s + 2 )}{s ^{2} ( s + 2 ) ^{2} - 16}