计算①a²-b²/a²+2ab+b²÷2a-2b/a+b②a-1/a÷a-1/a²
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2012-03-08 · 知道合伙人互联网行家
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①(a²-b²/a²+2ab+b²)÷(2a-2b/a+b)
=[(a+b)(a-b)/(a+b)²]÷[2(a-b)/(a+b)]
=[(a-b)/(a+b)]÷[2(a-b)/(a+b)]
=1/2
②(a-1/a)÷(a-1/a²)
=(a-1/a)*(a²/a-1)
=a
②[(a-1)/a]÷[(a-1)/a]²
=[(a-1)/a]*[a/(a-1)]²
=a/(a-1)
=1-1/(a-1)
=[(a+b)(a-b)/(a+b)²]÷[2(a-b)/(a+b)]
=[(a-b)/(a+b)]÷[2(a-b)/(a+b)]
=1/2
②(a-1/a)÷(a-1/a²)
=(a-1/a)*(a²/a-1)
=a
②[(a-1)/a]÷[(a-1)/a]²
=[(a-1)/a]*[a/(a-1)]²
=a/(a-1)
=1-1/(a-1)
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