erweitern (3x^2+6x+1)^5

Lösung

erweitern

(3 x^{2} + 6 x + 1)^{5}

243 x^{10} + 2430 x^{9} + 10125 x^{8} + 22680 x^{7} + 29430 x^{6} + 22356 x^{5} + 9810 x^{4} + 2520 x^{3} + 375 x^{2} + 30 x + 1

Schritte zur Lösung

(3 x^{2} + 6 x + 1)^{5}

(3 x^{2} + 6 x + 1)^{5} = (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1)

= (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1)

Multipliziere aus

(3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) (3 x^{2} + 6 x + 1) : 243 x^{10} + 2430 x^{9} + 10125 x^{8} + 22680 x^{7} + 29430 x^{6} + 22356 x^{5} + 9810 x^{4} + 2520 x^{3} + 375 x^{2} + 30 x + 1

= 243 x^{10} + 2430 x^{9} + 10125 x^{8} + 22680 x^{7} + 29430 x^{6} + 22356 x^{5} + 9810 x^{4} + 2520 x^{3} + 375 x^{2} + 30 x + 1

e x p an d 5 x^{3} y (6 x y^{5})

e x p an d \frac{( 3 x - y ) ^{2}}{81}

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

e x p an d sin (x) sec (x)

e x p an d \frac{5 ( 8845 - 5 )}{49}