Сократите дробь: (y^6+y^3)/(y^6-1).

Ответ:

\[\frac{y^{6} + y^{3}}{y^{6} - 1} = \frac{y^{3}\left( y^{3} + 1 \right)}{\left( y^{3} \right)^{2} - 1^{2}} =\]

\[= \frac{y^{3}(y + 1)\left( y^{2} - y + 1 \right)}{\left( y^{3} - 1 \right)\left( y^{3} + 1 \right)} =\]

\[= \frac{y^{3}}{y^{3} - 1}\]