erweitern (3+4y^2+4y)^5

Lösung

erweitern

(3 + 4 y^{2} + 4 y)^{5}

1024 y^{10} + 5120 y^{9} + 14080 y^{8} + 25600 y^{7} + 33920 y^{6} + 33664 y^{5} + 25440 y^{4} + 14400 y^{3} + 5940 y^{2} + 1620 y + 243

Schritte zur Lösung

(3 + 4 y^{2} + 4 y)^{5}

(3 + 4 y^{2} + 4 y)^{5} = (3 + 4 y^{2} + 4 y) (3 + 4 y^{2} + 4 y) (3 + 4 y^{2} + 4 y) (3 + 4 y^{2} + 4 y) (3 + 4 y^{2} + 4 y)

= (4 y^{2} + 4 y + 3) (4 y^{2} + 4 y + 3) (4 y^{2} + 4 y + 3) (4 y^{2} + 4 y + 3) (4 y^{2} + 4 y + 3)

Multipliziere aus

(3 + 4 y^{2} + 4 y) (3 + 4 y^{2} + 4 y) (3 + 4 y^{2} + 4 y) (3 + 4 y^{2} + 4 y) (3 + 4 y^{2} + 4 y) : 1024 y^{10} + 5120 y^{9} + 14080 y^{8} + 25600 y^{7} + 33920 y^{6} + 33664 y^{5} + 25440 y^{4} + 14400 y^{3} + 5940 y^{2} + 1620 y + 243

= 1024 y^{10} + 5120 y^{9} + 14080 y^{8} + 25600 y^{7} + 33920 y^{6} + 33664 y^{5} + 25440 y^{4} + 14400 y^{3} + 5940 y^{2} + 1620 y + 243

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

e x p an d \frac{1}{( 0.002 s ^{2} + 0.02 s + 1 ) ( s ^{2} + 0.1 s + 1 )}

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

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

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