Question

Упростите выражение: 8-12a+6a²-a³/4-4a+a²

Answer 1

(8-12a+6a²-a³)/(4-4a+a²)=((8-a^3)-6a*(a-2))/(a-2)^2=(-(a-2))^3-6a*(a-2))/(a-2)^2=-((a-2)((a-2)^2+6a))/(a-2)^2=-(a^2-4a+4+6a)/(a-2)= - (a^2+2a+4)/(a-2)= (a^2+2a+4)/(2-a)