Question

сократите дробь a^3+a^2-a-1 дробь a^2+2a+1 =

Answer 1

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