erweitern (1-x^3+x^6)^6

Lösung

erweitern

(1 - x^{3} + x^{6})^{6}

x^{36} - 6 x^{33} + 21 x^{30} - 50 x^{27} + 90 x^{24} - 126 x^{21} + 141 x^{18} - 126 x^{15} + 90 x^{12} - 50 x^{9} + 21 x^{6} - 6 x^{3} + 1

Schritte zur Lösung

(1 - x^{3} + x^{6})^{6}

(1 - x^{3} + x^{6})^{6} = (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6})

= (x^{6} - x^{3} + 1) (x^{6} - x^{3} + 1) (x^{6} - x^{3} + 1) (x^{6} - x^{3} + 1) (x^{6} - x^{3} + 1) (x^{6} - x^{3} + 1)

Multipliziere aus

(1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) (1 - x^{3} + x^{6}) : x^{36} - 6 x^{33} + 21 x^{30} - 50 x^{27} + 90 x^{24} - 126 x^{21} + 141 x^{18} - 126 x^{15} + 90 x^{12} - 50 x^{9} + 21 x^{6} - 6 x^{3} + 1

= x^{36} - 6 x^{33} + 21 x^{30} - 50 x^{27} + 90 x^{24} - 126 x^{21} + 141 x^{18} - 126 x^{15} + 90 x^{12} - 50 x^{9} + 21 x^{6} - 6 x^{3} + 1

s im pl i f y \frac{7.5754}{s ( s + 3.8 ) + 7.5754}

e x p an d \frac{8 x + 55}{( x + 9 ) ( x - 8 )}

e x p an d x (3 + Δ y, 4) - x (3, 4)

e x p an d R (1, - 1) y E (3, 4)

e x p an d 4 x - 7 (x + 3 = - 36)