计算:2.(3/a-2+12/a²-4)÷(2/a-2-1/a+2)
问题描述:
计算:2.(3/a-2+12/a²-4)÷(2/a-2-1/a+2)
答
=7.68-【65‘、097,
答
[3/(a-2)+12/(a^2-4)]÷[2/(a-2)-1/(a+2)]
=[3(a+2)/(a-2)(a+2)+12/(a-2)(a+2)]÷[2(a+2)/(a-2)(a+2)-(a-2)/(a-2)(a+2)]
=[(3a+6+12)/(a-2)(a+2)]÷[(2a+4)/(a-2)(a+2)-(a-2)/(a-2)(a+2)]
=[(3a+18)/(a-2)(a+2)]÷[(2a+4-a+2)/(a-2)(a+2)]
=[3(a+6)/(a-2)(a+2)]÷[(a+6)/(a-2)(a+2)]
=[3(a+6)/(a-2)(a+2)]*(a-2)(a+2)/(a+6)
=3
答
2.(3/a-2+12/a²-4)÷(2/a-2-1/a+2)
=(3a+6+12)/(a+2)(a-2)÷(2a+4-a+2)/(a+2)(a-2)
=3