a的平方-1分之a-2÷(a-1-a+1分之2a-1)
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(a-2)/(a^2-1)÷[a-1-(2a-1)/(a+1)]
=(a-2)/(a^2-1)÷{[(a^2-1)-(2a-1)]/(a+1)}
=(a-2)/(a^2-1)÷{[a^2-1-2a+1]/(a+1)}
=(a-2)/[(a-1)(a+1)]÷[(a^2-2a)/(a+1)]
=(a-2)/[(a-1)(a+1)]*(a+1)/(a^2-2a)
=(a-2)/(a-1)*1/(a^2-2a)
=(a-2)/(a-1)*1/[a(a-2)]
=1/[a(a-1)]
=1/(a^2-a)
=(a-2)/(a^2-1)÷{[(a^2-1)-(2a-1)]/(a+1)}
=(a-2)/(a^2-1)÷{[a^2-1-2a+1]/(a+1)}
=(a-2)/[(a-1)(a+1)]÷[(a^2-2a)/(a+1)]
=(a-2)/[(a-1)(a+1)]*(a+1)/(a^2-2a)
=(a-2)/(a-1)*1/(a^2-2a)
=(a-2)/(a-1)*1/[a(a-2)]
=1/[a(a-1)]
=1/(a^2-a)
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