erweitern (2x^2+3x+1)^7

Lösung

erweitern

(2 x^{2} + 3 x + 1)^{7}

128 x^{14} + 1344 x^{13} + 6496 x^{12} + 19152 x^{11} + 38472 x^{10} + 55692 x^{9} + 59906 x^{8} + 48639 x^{7} + 29953 x^{6} + 13923 x^{5} + 4809 x^{4} + 1197 x^{3} + 203 x^{2} + 21 x + 1

Schritte zur Lösung

(2 x^{2} + 3 x + 1)^{7}

(2 x^{2} + 3 x + 1)^{7} = (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1)

= (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1)

Multipliziere aus

(2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) (2 x^{2} + 3 x + 1) : 128 x^{14} + 1344 x^{13} + 6496 x^{12} + 19152 x^{11} + 38472 x^{10} + 55692 x^{9} + 59906 x^{8} + 48639 x^{7} + 29953 x^{6} + 13923 x^{5} + 4809 x^{4} + 1197 x^{3} + 203 x^{2} + 21 x + 1

= 128 x^{14} + 1344 x^{13} + 6496 x^{12} + 19152 x^{11} + 38472 x^{10} + 55692 x^{9} + 59906 x^{8} + 48639 x^{7} + 29953 x^{6} + 13923 x^{5} + 4809 x^{4} + 1197 x^{3} + 203 x^{2} + 21 x + 1

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

e x p an d \frac{4 ( 4 ^{n + 1} - 16 )}{3}

e x p an d - 4 x^{5} \cdot x^{4}

e x p an d \frac{( y - x z ) ( z - x y ) ( x - yz )}{x yz}

e x p an d \frac{a - b ( a - c )}{b + e}