八下 分式的基本性质通分(10a-b/-a²,a+b/3a:(2) 5/-4ab²,4/5a

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  • (1)10a-b/-a²,a+b/3a:

    10a-b/-a²=(b-10a)/a²=(3b-30a)/3a²

    a+b/3a=(a²+ab)/3a²

    (2) 5/-4ab²,4/5a²b

    5/-4ab²=-25/20a²b²

    4/5a²b=16/20a²b²

    (3)x/a(x-y),y/b(y-x)

    x/a(x-y)=bx/ab(x-y)

    y/b(y-x)=-y/b(x-y)=-ay/ab(x-y)

    (4)a/(y-x)²,b/(x-y)(x+y)

    a/(y-x)²=a(x+y)/(x+y)(x-y)²

    b/(x-y)(x+y)=b(x-y)/(x+y)(x-y)²

    4.

    ①3-2b,2a/b-a

    3-2b=(3-2b)(b-a)/(b-a)

    2a/b-a=2a/(b-a)

    ②1/a+1,3/1-a,5/a²-1

    1/a+1=(a-1)/(a²-1)

    3/1-a=-3/(a-1)= -3(a+1)/(a²-1)

    5/a²-1 =5/(a²-1)

    ③a/a-b,b/a²-b²,c/a+b

    a/a-b=a(a+b)/(a²-b²)

    b/a²-b²=b/(a²-b²)

    c/a+b=c(a-b)/(a²-b²)

    ④a/a²-4,a-1/a-2,a+2/a²-4a+4

    a/a²-4=a(a-2)/(a-2)²(a+2)

    a-1/a-2=(a-1)(a-2)(a+2)/(a-2)²(a+2)

    a+2/a²-4a+4=(a+2)²/(a-2)²(a+2)