化简:(1/a-1)÷a²-1/a²+a

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化简:(1/a-1)÷a²-1/a²+a
化简:(1/a-1)÷a²-1/a²+a

化简:(1/a-1)÷a²-1/a²+a
1/a-1 ÷ a²-1/a²+a
=1/a-1 ÷ (a+1)(a-1)/a(a+1)
=1/a-1 ÷ a-1/a
=a/(a-1)²

(1-a)/a÷(a+1)(a-1)/a(a+1)
=(1-a)/a÷(a-1)/a
=-1

收起

原式=(1-a)/a*1/a^2-1/a^2+a
=(1-2a)/a^3
=(a^4-2a+1)/a^3

=[(1/a-1)-1]/a²+a
=[(1-2a)/a]/a²]+a
=(1-2a)/a³+a
你确定题目没写错?

(1/a-1)÷a²-1/a²+a
=(1/a-1)×a²+a /a²-1
=(a-1)/a ×a(a+1) /[(a-1)(a+1)]
=1