Question

сократите дробь х^33 - 1 /x^33 + x^22 +x^11

Answer 1

ОДЗ:$xneq0;$

 

$frac{x^{33}-1}{x^{33}+x^{22}+x^{11}}=frac{(x^{11}-1)(x^{22}+x^{11}+1)}{x^{11}(x^{22}+x^{11}+1)}=frac{x^{11}-1}{x^{11}}=1-x^{-11}$