erweitern (3+2x-x^2)^5

Lösung

erweitern

(3 + 2 x - x^{2})^{5}

- x^{10} + 10 x^{9} - 25 x^{8} - 40 x^{7} + 190 x^{6} + 92 x^{5} - 570 x^{4} - 360 x^{3} + 675 x^{2} + 810 x + 243

Schritte zur Lösung

(3 + 2 x - x^{2})^{5}

(3 + 2 x - x^{2})^{5} = (3 + 2 x - x^{2}) (3 + 2 x - x^{2}) (3 + 2 x - x^{2}) (3 + 2 x - x^{2}) (3 + 2 x - x^{2})

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

Multipliziere aus

(3 + 2 x - x^{2}) (3 + 2 x - x^{2}) (3 + 2 x - x^{2}) (3 + 2 x - x^{2}) (3 + 2 x - x^{2}) : - x^{10} + 10 x^{9} - 25 x^{8} - 40 x^{7} + 190 x^{6} + 92 x^{5} - 570 x^{4} - 360 x^{3} + 675 x^{2} + 810 x + 243

= - x^{10} + 10 x^{9} - 25 x^{8} - 40 x^{7} + 190 x^{6} + 92 x^{5} - 570 x^{4} - 360 x^{3} + 675 x^{2} + 810 x + 243

e x p an d 4 (1 - e^{- 0.13 t})

e x p an d \frac{5 x ^{2} - 8 x + 1}{( x + 1 ) ( x - 3 )}

e x p an d \frac{x ( 3 x - 2 ) ( x - 2 )}{2 ( 3 x - 5 )}

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

e x p an d \frac{7 x ^{2} + 16 x + 16}{x ( x + 2 )}