erweitern (a^2+a-1)^5

Lösung

erweitern

(a^{2} + a - 1)^{5}

a^{10} + 5 a^{9} + 5 a^{8} - 10 a^{7} - 15 a^{6} + 11 a^{5} + 15 a^{4} - 10 a^{3} - 5 a^{2} + 5 a - 1

Schritte zur Lösung

(a^{2} + a - 1)^{5}

(a^{2} + a - 1)^{5} = (a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1)

= (a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1)

Multipliziere aus

(a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1) (a^{2} + a - 1) : a^{10} + 5 a^{9} + 5 a^{8} - 10 a^{7} - 15 a^{6} + 11 a^{5} + 15 a^{4} - 10 a^{3} - 5 a^{2} + 5 a - 1

= a^{10} + 5 a^{9} + 5 a^{8} - 10 a^{7} - 15 a^{6} + 11 a^{5} + 15 a^{4} - 10 a^{3} - 5 a^{2} + 5 a - 1

e x p an d (x^{2} - 9) e^{x}

e x p an d f (1, - 4)

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

e x p an d 2 (\frac{9}{e ^{4}} + \frac{9}{e ^{16}} + \frac{9}{e ^{36}})

e x p an d \frac{tan ( π ( x + 2 ) )}{x + 2}