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

Lösung

erweitern

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

1024 y^{10} + 2560 y^{9} + 6400 y^{8} + 8960 y^{7} + 11840 y^{6} + 10592 y^{5} + 8880 y^{4} + 5040 y^{3} + 2700 y^{2} + 810 y + 243

Schritte zur Lösung

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

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

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

Multipliziere aus

(3 + 2 y + 4 y^{2}) (3 + 2 y + 4 y^{2}) (3 + 2 y + 4 y^{2}) (3 + 2 y + 4 y^{2}) (3 + 2 y + 4 y^{2}) : 1024 y^{10} + 2560 y^{9} + 6400 y^{8} + 8960 y^{7} + 11840 y^{6} + 10592 y^{5} + 8880 y^{4} + 5040 y^{3} + 2700 y^{2} + 810 y + 243

= 1024 y^{10} + 2560 y^{9} + 6400 y^{8} + 8960 y^{7} + 11840 y^{6} + 10592 y^{5} + 8880 y^{4} + 5040 y^{3} + 2700 y^{2} + 810 y + 243

e x p an d (0, - 1) y (- 4, 3)

e x p an d [(x - 2) e x] d x

e x p an d \frac{x ^{2} - 2 x + 10}{( x - 3 ) ( x ^{2} + 4 )}

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

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