Question

упростить выражение 5/(а+2)^2-5/а^2-4-5/а+2

Answer 1

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

Answer 2

$frac{5}{(a+2)^2}-frac{5}{a^2-4}-frac{5}{a+2};\ frac{5}{(a+2)^2}-frac{5}{(a-2)(a+2)}-frac{5}{a+2}=\ =frac{5(a-2-(a+2)-(a^2-4))}{(a-2)(a+2)^2}=frac{5(a-2-a-2-a^2+4)}{(a-2)(a+2)^2}=-frac{5a^2}{(a-2)cdot(a+2)^2}$