erweitern (5x^2-3x-1)^6

Lösung

erweitern

(5 x^{2} - 3 x - 1)^{6}

15625 x^{12} - 56250 x^{11} + 65625 x^{10} - 11250 x^{9} - 27750 x^{8} + 10710 x^{7} + 6329 x^{6} - 2142 x^{5} - 1110 x^{4} + 90 x^{3} + 105 x^{2} + 18 x + 1

Schritte zur Lösung

(5 x^{2} - 3 x - 1)^{6}

(5 x^{2} - 3 x - 1)^{6} = (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1)

= (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1)

Multipliziere aus

(5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) (5 x^{2} - 3 x - 1) : 15625 x^{12} - 56250 x^{11} + 65625 x^{10} - 11250 x^{9} - 27750 x^{8} + 10710 x^{7} + 6329 x^{6} - 2142 x^{5} - 1110 x^{4} + 90 x^{3} + 105 x^{2} + 18 x + 1

= 15625 x^{12} - 56250 x^{11} + 65625 x^{10} - 11250 x^{9} - 27750 x^{8} + 10710 x^{7} + 6329 x^{6} - 2142 x^{5} - 1110 x^{4} + 90 x^{3} + 105 x^{2} + 18 x + 1

s im pl i f y 6 (\frac{w}{2} - \frac{3}{4})

e x p an d (a + b e + c e^{2} + d e^{3})^{3}

e x p an d (1 - y) e^{y} y^{^{'}} + \frac{y ^{2}}{x ln ( x )}

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

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