erweitern (x^2+12)/((x^2+9)(x^3+2x^2-x-2))

Lösung

erweitern

\frac{x ^{2} + 12}{( x ^{2} + 9 ) ( x ^{3} + 2 x ^{2} - x - 2 )}

\frac{x ^{2} + 12}{x ^{5} + 2 x ^{4} + 8 x ^{3} + 16 x ^{2} - 9 x - 18}

Schritte zur Lösung

\frac{x ^{2} + 12}{( x ^{2} + 9 ) ( x ^{3} + 2 x ^{2} - x - 2 )}

Multipliziere aus

(x^{2} + 9) (x^{3} + 2 x^{2} - x - 2) : x^{5} + 2 x^{4} + 8 x^{3} + 16 x^{2} - 9 x - 18

= \frac{x ^{2} + 12}{x ^{5} + 2 x ^{4} + 8 x ^{3} + 16 x ^{2} - 9 x - 18}

e x p an d 2 u y^{2} (y d u + u d y) + (y^{2} - 3 y^{2} u^{2}) d u

e x p an d e^{(a + ib)^{2}} e^{(a + ib)^{2}}

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

e x p an d 36 (e^{- 0.1 t} - 0.1 e^{- 0.1 t} t)

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