erweitern-(3x^2-13x+37)/((x+2)(x-3)^3)

Lösung

erweitern

- \frac{3 x ^{2} - 13 x + 37}{( x + 2 ) ( x - 3 ) ^{3}}

- \frac{3 x ^{2} - 13 x + 37}{x ^{4} - 7 x ^{3} + 9 x ^{2} + 27 x - 54}

Schritte zur Lösung

- \frac{3 x ^{2} - 13 x + 37}{( x + 2 ) ( x - 3 ) ^{3}}

(x - 3)^{3} = x^{3} - 9 x^{2} + 27 x - 27

= - \frac{3 x ^{2} - 13 x + 37}{( x + 2 ) ( x ^{3} - 9 x ^{2} + 27 x - 27 )}

Multipliziere aus

(x + 2) (x^{3} - 9 x^{2} + 27 x - 27) : x^{4} - 7 x^{3} + 9 x^{2} + 27 x - 54

= - \frac{3 x ^{2} - 13 x + 37}{x ^{4} - 7 x ^{3} + 9 x ^{2} + 27 x - 54}

e x p an d 1000 x (x + 16000 π)

e x p an d - \frac{1.60754 ( 2.06317741 k ^{2} + 3989.1792 )}{k}

e x p an d \frac{( 0.04 - x ) ( 0.03 - x )}{( 0.02 + x ) ( 0.04 + x )}

e x p an d (x - 1) (x - e^{- 1.5}) (x - e^{- 10})

e x p an d (e^{2 x} cos (3 y)) (1 + 2 x)