a^2b-ab-a+1/ab^2+3ab-b-3除a^2+a-2/b^2+b-6daan

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a^2b-ab-a+1/ab^2+3ab-b-3除a^2+a-2/b^2+b-6daana^2b-ab-a+1/ab^2+3ab-b-3除a^2+a-2/b^2+b-6daana^2b-ab-a+1/

a^2b-ab-a+1/ab^2+3ab-b-3除a^2+a-2/b^2+b-6daan
a^2b-ab-a+1/ab^2+3ab-b-3除a^2+a-2/b^2+b-6
daan

a^2b-ab-a+1/ab^2+3ab-b-3除a^2+a-2/b^2+b-6daan
a^2b-ab-a+1/ab^2+3ab-b-3除a^2+a-2/b^2+b-6
=(ab-1)(a-1)/(ab-1)(b+3)除a^2+a-2/b^2+b-6
=(a-1)/(b+3)*(b^2+b-6)/(a^2+a-2)
=(a-1)/(b+3)*(b+3)(b-2)/(a+2)(a-1)
=(b-2)/(a+2)

={[ab(a-1)-(a-1)]/[ab(b+3)-(b+3)]}÷[(a+2)(a-1)/(b+3)(b-2)] =[(ab-1)(a-1)/(ab-1)(b+3)]*[(b+3)(b-2)/(a+2)(a-1)] =(a-1)(b+3)(b-2)/[(b+3)(a+2)(a-1)] =(b-2)/(a+2)