erweitern e(x^3-x)^8

Lösung

erweitern

e (x^{3} - x)^{8}

e x^{24} - 8 e x^{22} + 28 e x^{20} - 56 e x^{18} + 70 e x^{16} - 56 e x^{14} + 28 e x^{12} - 8 e x^{10} + e x^{8}

Schritte zur Lösung

e (x^{3} - x)^{8}

(x^{3} - x)^{8} = x^{24} - 8 x^{22} + 28 x^{20} - 56 x^{18} + 70 x^{16} - 56 x^{14} + 28 x^{12} - 8 x^{10} + x^{8}

= e (x^{24} - 8 x^{22} + 28 x^{20} - 56 x^{18} + 70 x^{16} - 56 x^{14} + 28 x^{12} - 8 x^{10} + x^{8})

Setze Klammern

= e x^{24} + e (- 8 x^{22}) + e 28 x^{20} + e (- 56 x^{18}) + e 70 x^{16} + e (- 56 x^{14}) + e 28 x^{12} + e (- 8 x^{10}) + e x^{8}

Wende Minus-Plus Regeln an

+ (- a) = - a

= e x^{24} - 8 e x^{22} + 28 e x^{20} - 56 e x^{18} + 70 e x^{16} - 56 e x^{14} + 28 e x^{12} - 8 e x^{10} + e x^{8}

e x p an d \frac{2 ^{2 n + 2} ( 4 + 4 ^{n} )}{5}

\frac{d}{d y} ((x) (24 x^{2} + 2 y - 6))

e x p an d 395 X 13

e x p an d \frac{V ( 2 π - φ )}{( 2 π - 1 )}

e x p an d s q u a re x (2 x + 1)