erweitern ((x^2-5)(x-4))/((x+1)(2x^2-5))

Lösung

erweitern

\frac{( x ^{2} - 5 ) ( x - 4 )}{( x + 1 ) ( 2 x ^{2} - 5 )}

\frac{x ^{3} - 4 x ^{2} - 5 x + 20}{2 x ^{3} - 5 x + 2 x ^{2} - 5}

Schritte zur Lösung

\frac{( x ^{2} - 5 ) ( x - 4 )}{( x + 1 ) ( 2 x ^{2} - 5 )}

Multipliziere aus

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

= \frac{( x ^{2} - 5 ) ( x - 4 )}{2 x ^{3} - 5 x + 2 x ^{2} - 5}

Multipliziere aus

(x^{2} - 5) (x - 4) : x^{3} - 4 x^{2} - 5 x + 20

= \frac{x ^{3} - 4 x ^{2} - 5 x + 20}{2 x ^{3} - 5 x + 2 x ^{2} - 5}

e x p an d (sin (x) + cos (x)) e^{x}

e x p an d (2 e^{4 t} - 4 e^{- 3 t})^{2}

e x p an d ln (\frac{x ^{8}}{( x - 3 ) ^{4}})

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

e x p an d π (16 - x^{2})^{2}