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

Lösung

erweitern

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

x^{20} - 20 x^{18} + 180 x^{16} - 960 x^{14} + 3360 x^{12} - 8064 x^{10} + 13440 x^{8} - 15360 x^{6} + 11520 x^{4} - 5120 x^{2} + 1024

Schritte zur Lösung

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

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

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

Multipliziere aus

(x^{4} - 4 x^{2} + 4) (x^{4} - 4 x^{2} + 4) (x^{4} - 4 x^{2} + 4) (x^{4} - 4 x^{2} + 4) (x^{4} - 4 x^{2} + 4) : x^{20} - 20 x^{18} + 180 x^{16} - 960 x^{14} + 3360 x^{12} - 8064 x^{10} + 13440 x^{8} - 15360 x^{6} + 11520 x^{4} - 5120 x^{2} + 1024

= x^{20} - 20 x^{18} + 180 x^{16} - 960 x^{14} + 3360 x^{12} - 8064 x^{10} + 13440 x^{8} - 15360 x^{6} + 11520 x^{4} - 5120 x^{2} + 1024

e x p an d \frac{7 x - 6}{( x + 2 ) ( x - 3 )}

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

e x p an d (- 1, - 2) y (5, 2)

e x p an d \frac{( s a + b + 3 a )}{( s + 1 ) ( s + 2 )}

e x p an d f (x) (x = x^{2} - cos (2 x - 2))