Question

сократите дробь: a³-a²-a+1/a⁴-2a+1

Answer 1

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