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

Lösung

erweitern

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

x^{10} + 20 x^{9} + 180 x^{8} + 960 x^{7} + 3360 x^{6} + 8064 x^{5} + 13440 x^{4} + 15360 x^{3} + 11520 x^{2} + 5120 x + 1024

Schritte zur Lösung

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

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

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

Multipliziere aus

(x^{2} + 4 x + 4) (x^{2} + 4 x + 4) (x^{2} + 4 x + 4) (x^{2} + 4 x + 4) (x^{2} + 4 x + 4) : x^{10} + 20 x^{9} + 180 x^{8} + 960 x^{7} + 3360 x^{6} + 8064 x^{5} + 13440 x^{4} + 15360 x^{3} + 11520 x^{2} + 5120 x + 1024

= x^{10} + 20 x^{9} + 180 x^{8} + 960 x^{7} + 3360 x^{6} + 8064 x^{5} + 13440 x^{4} + 15360 x^{3} + 11520 x^{2} + 5120 x + 1024

e x p an d c u r l (x z - x, y^{2} - 2 y, yz - y)

e x p an d lo g_{10} (6) (2 x + 5)^{5} (2 x y)

e x p an d \frac{e ^{- s} + s}{s ( s - 8 ) ( s - 9 )}

e x p an d \frac{3 ( x ^{2} - 25 ) ( 4 x ^{2} + 4 x + 1 )}{x + 2}

e x p an d - \frac{2}{x \cdot ( x - 0.5 )}