erweitern (24x(x-2))/((8x^2-2x-1)z(z-2))

Lösung

erweitern

\frac{24 x ( x - 2 )}{( 8 x ^{2} - 2 x - 1 ) z ( z - 2 )}

\frac{24 x ^{2} - 48 x}{8 x ^{2} z ^{2} - 16 x ^{2} z - 2 x z ^{2} + 4 x z - z ^{2} + 2 z}

Schritte zur Lösung

\frac{24 x ( x - 2 )}{( 8 x ^{2} - 2 x - 1 ) z ( z - 2 )}

Multipliziere aus

(8 x^{2} - 2 x - 1) z (z - 2) : 8 x^{2} z^{2} - 16 x^{2} z - 2 x z^{2} + 4 x z - z^{2} + 2 z

= \frac{24 x ( x - 2 )}{8 x ^{2} z ^{2} - 16 x ^{2} z - 2 x z ^{2} + 4 x z - z ^{2} + 2 z}

Multipliziere aus

24 x (x - 2) : 24 x^{2} - 48 x

= \frac{24 x ^{2} - 48 x}{8 x ^{2} z ^{2} - 16 x ^{2} z - 2 x z ^{2} + 4 x z - z ^{2} + 2 z}

e x p an d \frac{5 ( 2 x + 1 )}{( x - 7 ) ( x + 3 )}

e x p an d 5 sin (4 (x + 3)) + 7

e x p an d (1 + x) \times cos (w x)

s im pl i f y (x + i - i x^{2})^{2}

e x p an d \frac{2 s ^{2} + 67}{( s ^{2} + 1 ) ( s + 8 )}