Question

Упростить выражение:

Answer 1

Ответ на картинке внизу

Answer 2

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

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