erweitern (x^2+4x-5)^5

Lösung

erweitern

(x^{2} + 4 x - 5)^{5}

x^{10} + 20 x^{9} + 135 x^{8} + 240 x^{7} - 870 x^{6} - 2376 x^{5} + 4350 x^{4} + 6000 x^{3} - 16875 x^{2} + 12500 x - 3125

Schritte zur Lösung

(x^{2} + 4 x - 5)^{5}

(x^{2} + 4 x - 5)^{5} = (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5)

= (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5)

Multipliziere aus

(x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) (x^{2} + 4 x - 5) : x^{10} + 20 x^{9} + 135 x^{8} + 240 x^{7} - 870 x^{6} - 2376 x^{5} + 4350 x^{4} + 6000 x^{3} - 16875 x^{2} + 12500 x - 3125

= x^{10} + 20 x^{9} + 135 x^{8} + 240 x^{7} - 870 x^{6} - 2376 x^{5} + 4350 x^{4} + 6000 x^{3} - 16875 x^{2} + 12500 x - 3125

e x p an d \frac{( ( 2 π - 80 ) x + 1260 )}{9}

e x p an d s + 5 ((s + 10) (s + 3))

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

e x p an d \frac{( x ^{4} + 2 x ^{3} - 10 x ^{2} - x + 4 )}{( x \cdot ( x + 3 ) \cdot ( x - 2 ) )}

e x p an d cos (2 (θ + 45))