erweitern (x^2+2x+9)/((x^2+1)(x+4))

Lösung

erweitern

\frac{x ^{2} + 2 x + 9}{( x ^{2} + 1 ) ( x + 4 )}

\frac{x ^{2} + 2 x + 9}{x ^{3} + 4 x ^{2} + x + 4}

Schritte zur Lösung

\frac{x ^{2} + 2 x + 9}{( x ^{2} + 1 ) ( x + 4 )}

Multipliziere aus

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

= \frac{x ^{2} + 2 x + 9}{x ^{3} + 4 x ^{2} + x + 4}

e x p an d lo g_{10} (8) (x^{4})

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

e x p an d (1 - sin (θ)) (sec (θ) + tan (θ))

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

e x p an d (x + y) d x - x d y