Question

упростите выражение (4/a^3-2a^2 + a+2/a^2):(a+2/a-2 - a-2/a+2 - 16/4-a^2)

Answer 1

1)4/a²(a-2)+(a+2)/a²=(4+a²-4)/a²(a-2)=a²/a²/(a-2)=1/(a-2)
2)(a+2)/(a-2)-(a-2)/(a+2)+16/(a-2)(a+2)=(a²+4a+4-a²+4a-4+16)/(a-2)(a+2)=
=(8a+16)/(a-2)(a+2)=8(a+2)/(a-2)(a+2)=8/(a-2)
3)1/(a-2):8/(a-2)=1/(a-2)*(a-2)/8=1/8