化简[a+2/a(a-2)]-[ 8/(a+2)(a-2)]的每一步
问题描述:
化简[a+2/a(a-2)]-[ 8/(a+2)(a-2)]的每一步
答
[a+2/a(a-2)]-[ 8/(a+2)(a-2)]
=(a+2)(a+2)/a(a-2)(a+2)-8a/a(a-2)(a+2)
=[(a²+4a+4)-8a]/a(a-2)(a+2)
=(a²-4a+4)/a(a-2)(a+2)
=(a-2)²/a(a-2)(a+2)
=(a-2)/a(a+2)