erweitern (9x+45x^2+987^3)^5

Lösung

erweitern

(9 x + 45 x^{2} + 98 7^{3})^{5}

184528125 x^{10} + 184528125 x^{9} + 1.97139 E 16 x^{8} + 1.57711 E 16 x^{7} + 8.42443 E 23 x^{6} + 5.05466 E 23 x^{5} + 1.80003 E 31 x^{4} + 7.20011 E 30 x^{3} + 1.92304 E 38 x^{2} + 3.84608 E 37 x + 8.21783 E 44

Schritte zur Lösung

(9 x + 45 x^{2} + 98 7^{3})^{5}

98 7^{3} = 961504803

= (9 x + 45 x^{2} + 961504803)^{5}

(9 x + 45 x^{2} + 961504803)^{5} = (9 x + 45 x^{2} + 961504803) (9 x + 45 x^{2} + 961504803) (9 x + 45 x^{2} + 961504803) (9 x + 45 x^{2} + 961504803) (9 x + 45 x^{2} + 961504803)

= (45 x^{2} + 9 x + 961504803) (45 x^{2} + 9 x + 961504803) (45 x^{2} + 9 x + 961504803) (45 x^{2} + 9 x + 961504803) (45 x^{2} + 9 x + 961504803)

Multipliziere aus

(9 x + 45 x^{2} + 961504803) (9 x + 45 x^{2} + 961504803) (9 x + 45 x^{2} + 961504803) (9 x + 45 x^{2} + 961504803) (9 x + 45 x^{2} + 961504803) : 184528125 x^{10} + 184528125 x^{9} + 1.97139 E 16 x^{8} + 1.57711 E 16 x^{7} + 8.42443 E 23 x^{6} + 5.05466 E 23 x^{5} + 1.80003 E 31 x^{4} + 7.20011 E 30 x^{3} + 1.92304 E 38 x^{2} + 3.84608 E 37 x + 8.21783 E 44

= 184528125 x^{10} + 184528125 x^{9} + 1.97139 E 16 x^{8} + 1.57711 E 16 x^{7} + 8.42443 E 23 x^{6} + 5.05466 E 23 x^{5} + 1.80003 E 31 x^{4} + 7.20011 E 30 x^{3} + 1.92304 E 38 x^{2} + 3.84608 E 37 x + 8.21783 E 44

e x p an d (x - y = arcsin (x) - arcsin (y)) \frac{d y}{d x}

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

e x p an d (π + 1)^{2}

e x p an d \frac{s + 1500}{s ( s + 200 )}

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