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

Lösung

erweitern

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

x^{10} - 25 x^{9} + 275 x^{8} - 1750 x^{7} + 7125 x^{6} - 19375 x^{5} + 35625 x^{4} - 43750 x^{3} + 34375 x^{2} - 15625 x + 3125

Schritte zur Lösung

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

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

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

Multipliziere aus

(x^{2} - 5 x + 5) (x^{2} - 5 x + 5) (x^{2} - 5 x + 5) (x^{2} - 5 x + 5) (x^{2} - 5 x + 5) : x^{10} - 25 x^{9} + 275 x^{8} - 1750 x^{7} + 7125 x^{6} - 19375 x^{5} + 35625 x^{4} - 43750 x^{3} + 34375 x^{2} - 15625 x + 3125

= x^{10} - 25 x^{9} + 275 x^{8} - 1750 x^{7} + 7125 x^{6} - 19375 x^{5} + 35625 x^{4} - 43750 x^{3} + 34375 x^{2} - 15625 x + 3125

e x p an d V (2, - 1) y F (4, - 1)

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

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

e x p an d (t^{2} - 1) d t

e x p an d (2, - 1) P (- 3, 7)