erweitern (x^2-2x+3)^5

Lösung

erweitern

(x^{2} - 2 x + 3)^{5}

x^{10} - 10 x^{9} + 55 x^{8} - 200 x^{7} + 530 x^{6} - 1052 x^{5} + 1590 x^{4} - 1800 x^{3} + 1485 x^{2} - 810 x + 243

Schritte zur Lösung

(x^{2} - 2 x + 3)^{5}

(x^{2} - 2 x + 3)^{5} = (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3)

= (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3)

Multipliziere aus

(x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) (x^{2} - 2 x + 3) : x^{10} - 10 x^{9} + 55 x^{8} - 200 x^{7} + 530 x^{6} - 1052 x^{5} + 1590 x^{4} - 1800 x^{3} + 1485 x^{2} - 810 x + 243

= x^{10} - 10 x^{9} + 55 x^{8} - 200 x^{7} + 530 x^{6} - 1052 x^{5} + 1590 x^{4} - 1800 x^{3} + 1485 x^{2} - 810 x + 243

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

e x p an d (1 - i)^{5}

e x p an d (1 - i)^{2}

e x p an d \frac{4 x ^{3} - 9 x ^{2} + 11 x - 4}{x ^{2} ( 2 x - 1 )}

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