Question

Помогите упростить выражение. Буду благодарен!

Answer 1

$\dfrac{z-8}{z^ {\frac{2}{3}} +2 z^ {\frac{1}{3}}+4} = \dfrac{(z^{\frac{1}{3}})^3-2^3}{z^ {\frac{2}{3}} +2 z^ {\frac{1}{3}}+4} = \dfrac{(z^{\frac{1}{3}}-2)(z^ {\frac{2}{3}} +2 z^ {\frac{1}{3}}+4) }{z^ {\frac{2}{3}} +2 z^ {\frac{1}{3}}+4} =\\ =z^{\frac{1}{3}}-2$