Question

Помогите с упрощением примера, дам 30 балов:

Answer 1

$\frac{x^{\frac{3}{4}}+1-2x^{\frac{5}{8}}+2x^{\frac{3}{8}}-2x^{\frac{1}{8}}}{x^{\frac{1}{2}}-x^{\frac{1}{4}}+1}=\frac{[(x^{\frac{1}{4}})^{3}+1]-2x^{\frac{1}{8}}(x^{\frac{1}{2}}-x^{\frac{1}{4} }+1)}{x^{\frac{1}{2}}-x^{\frac{1}{4}}+1}=\frac{(x^{\frac{1}{4}}+1)(x^{\frac{1}{2}} -x^{\frac{1}{4}}+1) -2x^{\frac{1}{8}}(x^{\frac{1}{2}}-x^{\frac{1}{4} }+1)}{x^{\frac{1}{2}}-x^{\frac{1}{4}}+1}=\frac{(x^{\frac{1}{2}}-x^{\frac{1}{4}}+1)(x^{\frac{1}{4}}+1-2x^{\frac{1}{8} })}{x^{\frac{1}{2}}-x^{\frac{1}{4}} +1}=$

$=x^{\frac{1}{4}}-2x^{\frac{1}{8}}+1=(x^{\frac{1}{8}}-1)^{2}$