erweitern \sqrt[8]{sqrt(2)(x+1)(x^2+1)(x^4+1)+1}-1

Lösung

erweitern

8 2 (x + 1) (x^{2} + 1) (x^{4} + 1) + 1 - 1

8 2 x^{7} + 2 x^{3} + 2 x^{5} + 2 x + 2 x^{6} + 2 x^{2} + 2 x^{4} + 2 + 1 - 1

Schritte zur Lösung

8 2 (x + 1) (x^{2} + 1) (x^{4} + 1) + 1 - 1

Multipliziere aus

2 (x + 1) (x^{2} + 1) (x^{4} + 1) + 1 : 2 x^{7} + 2 x^{3} + 2 x^{5} + 2 x + 2 x^{6} + 2 x^{2} + 2 x^{4} + 2 + 1

= 8 2 x^{7} + 2 x^{6} + 2 x^{5} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 1 + 2 - 1

e x p an d (e^{z} - 1)^{2}

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

e x p an d \frac{35 h}{( t + 7 ) ( t + h + 7 )}

e x p an d \frac{( 3 s + 5 )}{2 ( s ^{4} + 9 s ^{3} + 25 s ^{2} + 39 s + 38 )}

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