erweitern \sqrt[8]{(a+b)(a^2+b^2)(a^4+b^4)+b^8-a}

Lösung

erweitern

8 (a + b) (a^{2} + b^{2}) (a^{4} + b^{4}) + b^{8} - a

8 a^{7} + a^{3} b^{4} + a^{5} b^{2} + a b^{6} + a^{6} b + a^{2} b^{5} + a^{4} b^{3} + b^{7} + b^{8} - a

Schritte zur Lösung

8 (a + b) (a^{2} + b^{2}) (a^{4} + b^{4}) + b^{8} - a

Multipliziere aus

(a + b) (a^{2} + b^{2}) (a^{4} + b^{4}) + b^{8} - a : a^{7} + a^{3} b^{4} + a^{5} b^{2} + a b^{6} + a^{6} b + a^{2} b^{5} + a^{4} b^{3} + b^{7} + b^{8} - a

= 8 a^{7} + a^{3} b^{4} + a^{5} b^{2} + a b^{6} + a^{6} b + a^{2} b^{5} + a^{4} b^{3} + b^{7} + b^{8} - a

e x p an d \frac{2 ( x ^{2} + 5 x - 3 )}{x ^{2} - x - 12}

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

e x p an d \frac{( x + 1 ) ( x ^{2} - x ) ^{2} ( x ^{2} - 5 x + 6 )}{x ^{2} - 2 x - 4}

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

e x p an d \frac{x ^{2} - 8 x + 7}{( - x + 4 ) ^{2}}