Question

Сократите дробь
a^4 - a^3 + a^2 -a +1
__________________
a^5 +1

Answer 1

$frac{ a^{4}- a^{3} + a^{2}-a+1 }{ a^{5}+1 } =frac{ a^{4}- a^{3} + a^{2}-a+1 }{ (a+1)(a^{4}- a^{3} + a^{2}-a+1 ) }= frac{1}{a+1}$