erweitern (x+5)/((x+1)^2(x+3))

Lösung

erweitern

\frac{x + 5}{( x + 1 ) ^{2} ( x + 3 )}

\frac{x + 5}{x ^{3} + 5 x ^{2} + 7 x + 3}

Schritte zur Lösung

\frac{x + 5}{( x + 1 ) ^{2} ( x + 3 )}

(x + 1)^{2} = x^{2} + 2 x + 1

= \frac{x + 5}{( x ^{2} + 2 x + 1 ) ( x + 3 )}

Multipliziere aus

(x^{2} + 2 x + 1) (x + 3) : x^{3} + 5 x^{2} + 7 x + 3

= \frac{x + 5}{x ^{3} + 5 x ^{2} + 7 x + 3}

e x p an d e^{64 + 48 k} \cdot (48 - 24 k)

e x p an d e^{\frac{t}{2} + c} ((- \frac{2}{3} e^{c} (e^{- \frac{3 t}{2}} - 1)) + c)

e x p an d \frac{( x + 2 ) ^{2} \cdot ( x - 1 ) ( x + 1 )}{2 x ^{2} - 7 x - 4}

e x p an d (1 - e^{t} + 3 e^{- 4 t}) \cdot cos (3 t)

e x p an d \frac{500 0 _{0}}{( 1 + 5 ) ^{0}}