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  • 化簡:(3a-2/)+(1-1/)÷(1+1/)

    化簡:(3a-2/)+(1-1/)÷(1+1/)
    數(shù)學(xué)人氣:362 ℃時(shí)間:2020-04-01 18:28:10
    優(yōu)質(zhì)解答
    原式=[(3a-2)/(a²-a-2)]+[1-1/(a+1)]÷[1+1/(a-1)]
    =[(3a-2)/(a²-a-2)]+{ [(a+1)-1]/(a+1) }÷{[(a-1)+1]/(a-1) }
    =[(3a-2)/(a²-a-2)]+[a/(a+1)]÷[a/(a-1)]
    =[(3a-2)/(a²-a-2)]+[a/(a+1)]×[(a-1)/a]
    ={ (3a-2)/[(a-2)(a+1)] }+[(a-1)/(a+1)]
    ={ (3a-2)/[(a-2)(a+1)] }+{(a-1)(a-2)/[(a-2)(a+1)] }
    =[(3a-2)+(a-1)(a-2)]/[(a-2)(a+1)]
    =(3a-2+a²-3a+2)/[(a-2)(a+1)]
    =a²/(a²-a-2)
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