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

Lösung

erweitern

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

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}

Schritte zur Lösung

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

Multipliziere aus

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

= 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}

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

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

e x p an d \frac{n ( 4 n + 1 ) ( 5 n + 3 )}{6 n ^{3} + 2}

e x p an d \frac{( x ^{3} - 11 x ^{2} + 25 x - 20 ) 13}{10}

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