化简:[2/3a - 2/(a+b) * (a+b/3a - a - b)] / (a-b)/a

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化简:[2/3a - 2/(a+b) * (a+b/3a - a - b)] / (a-b)/a

[2/3a - 2/(a+b) * (a+b/3a - a - b)] / (a-b)/a
=[2/3a-2/(a+b)*(a+b)*(1/3a-1)]/(a-b)/a
=a[2/3a-2(1/3a-1)]/(a-b)
=a*2/(a-b)
=2a/(a-b)

[2/3a - 2/(a+b) * (a+b/3a - a - b)] / (a-b)/a
=[2/3a-2/3a+2]/(a-b)/a
=2/(a-b)/a
=2a/(a-b)

=[2/3a-2/(a+b)*(a+b)*(1/3a-1)]/(a-b)/a
=a[2/3a-2(1/3a-1)]/(a-b)
=a*2/(a-b)
=2a/(a-b)