Question

(х^3-1)/(x^4+x^2+1) сократить выражение

Answer 1

$frac{x^3-1}{x^4+x^2+1}=frac{(x-1)(x^2+x+1)}{(x^4+2x^2+1)-x^2}=frac{(x-1)(x^2+x+1)}{(x^2+1)^2-x^2}= frac{(x-1)(x^2+x+1)}{(x^2+1-x)(x^2+1+x)}=frac{x-1}{x^2-x+1}$