分解因式(3)-a²+196b²(4)-12xy+x²+36y²

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  • (3)-a²+196b²

    =196b²-a²

    =(14b+a)(14b-a)

    (4)-12xy+x²+36y²

    =x²-12xy+36y²

    =(x-6y)²

    (5)a²(a-b)²-b²(a+b)²

    =[a(a-b)+b(a+b)][a(a-b)-b(a+b)]

    =(a²+b²)(a²-2ab-b²)

    (6)(x²-2x)²-1

    =(x²-2x+1)(x²-2x-1)

    =(x-1)²(x²-2x-1)

    化简下列各式

    (2)(2-2a)分之(a²-1)*(a²+2a+1)分之(a²+a)

    =(a+1)(a-1)/[-2(a-1)]×a(a+1)/(a+1)²

    =-a/2

    (3) (a-b分之a)²÷(b-a)分之a

    =a²/(a-b)²×[-(a-b)/a]

    =a/(b-a)

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