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

Lösung

erweitern

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

x^{10} + 5 x^{9} - 30 x^{7} - 15 x^{6} + 81 x^{5} + 30 x^{4} - 120 x^{3} + 80 x - 32

Schritte zur Lösung

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

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

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

Multipliziere aus

(x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2) (x^{2} + x - 2) : x^{10} + 5 x^{9} - 30 x^{7} - 15 x^{6} + 81 x^{5} + 30 x^{4} - 120 x^{3} + 80 x - 32

= x^{10} + 5 x^{9} - 30 x^{7} - 15 x^{6} + 81 x^{5} + 30 x^{4} - 120 x^{3} + 80 x - 32

e x p an d (1, 2, - 2) \cdot (x, x^{2}, x^{3})

e x p an d \frac{x + 4}{x ( x + 10 )}

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

e x p an d \frac{1}{x ( A - x )}

e x p an d 3 x^{3} x