erweitern-((6x^2+11x+7))/((x^2+5)(x+3))

Lösung

erweitern

- \frac{( 6 x ^{2} + 11 x + 7 )}{( x ^{2} + 5 ) ( x + 3 )}

- \frac{6 x ^{2} + 11 x + 7}{x ^{3} + 3 x ^{2} + 5 x + 15}

Schritte zur Lösung

- \frac{6 x ^{2} + 11 x + 7}{( x ^{2} + 5 ) ( x + 3 )}

Multipliziere aus

(x^{2} + 5) (x + 3) : x^{3} + 3 x^{2} + 5 x + 15

= - \frac{6 x ^{2} + 11 x + 7}{x ^{3} + 3 x ^{2} + 5 x + 15}

e x p an d (3 - x - 1) (6 - x + 2)

e x p an d \frac{3 x}{( x - 1 ) ( x - 4 ) ^{2}}

e x p an d - ((- 1, 0, 2) + 3 (3, - 1, - 2))

so l v e f or f, f = x^{3} e^{- 2 x} + δ (x - π)

e x p an d \frac{x - 4}{( x - 2 ) ( x - 3 )}