erweitern (10x^4-11x^2+1)^5

Lösung

erweitern

(10 x^{4} - 11 x^{2} + 1)^{5}

100000 x^{20} - 550000 x^{18} + 1260000 x^{16} - 1551000 x^{14} + 1105050 x^{12} - 460251 x^{10} + 110505 x^{8} - 15510 x^{6} + 1260 x^{4} - 55 x^{2} + 1

Schritte zur Lösung

(10 x^{4} - 11 x^{2} + 1)^{5}

(10 x^{4} - 11 x^{2} + 1)^{5} = (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1)

= (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1)

Multipliziere aus

(10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) (10 x^{4} - 11 x^{2} + 1) : 100000 x^{20} - 550000 x^{18} + 1260000 x^{16} - 1551000 x^{14} + 1105050 x^{12} - 460251 x^{10} + 110505 x^{8} - 15510 x^{6} + 1260 x^{4} - 55 x^{2} + 1

= 100000 x^{20} - 550000 x^{18} + 1260000 x^{16} - 1551000 x^{14} + 1105050 x^{12} - 460251 x^{10} + 110505 x^{8} - 15510 x^{6} + 1260 x^{4} - 55 x^{2} + 1

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

e x p an d (2 + x + x^{4}) (5 x - \frac{1}{2 x ^{3}})^{8}

e x p an d A (- 4, - 5) B (- 2, 3) C (1, - 2)

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

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