erweitern (x^2+5x+2)^7

Lösung

erweitern

(x^{2} + 5 x + 2)^{7}

x^{14} + 35 x^{13} + 539 x^{12} + 4795 x^{11} + 27209 x^{10} + 102725 x^{9} + 261905 x^{8} + 451225 x^{7} + 523810 x^{6} + 410900 x^{5} + 217672 x^{4} + 76720 x^{3} + 17248 x^{2} + 2240 x + 128

Schritte zur Lösung

(x^{2} + 5 x + 2)^{7}

(x^{2} + 5 x + 2)^{7} = (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2)

= (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2)

Multipliziere aus

(x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) (x^{2} + 5 x + 2) : x^{14} + 35 x^{13} + 539 x^{12} + 4795 x^{11} + 27209 x^{10} + 102725 x^{9} + 261905 x^{8} + 451225 x^{7} + 523810 x^{6} + 410900 x^{5} + 217672 x^{4} + 76720 x^{3} + 17248 x^{2} + 2240 x + 128

= x^{14} + 35 x^{13} + 539 x^{12} + 4795 x^{11} + 27209 x^{10} + 102725 x^{9} + 261905 x^{8} + 451225 x^{7} + 523810 x^{6} + 410900 x^{5} + 217672 x^{4} + 76720 x^{3} + 17248 x^{2} + 2240 x + 128

e x p an d \frac{6 x ^{2} - 4 x}{( x + 2 ) ^{2} ( x - 1 )}

e x p an d 4 (x^{2} + 2 x - 4)^{5}

e x p an d (7 v^{2} - 4 v - 3) (6 v - 2^{^{'}})

e x p an d (5 x - 8 q^{2})^{2 (m - 2)}

e x p an d lo g_{6} (3 8 \cdot 7 \cdot 11)