化简下列分式:x^2+x/(x^2-1) x^2+4x/x^2+8x+16 ab^2(a-b)/a^2b-ab^2

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化简下列分式:x^2+x/(x^2-1) x^2+4x/x^2+8x+16 ab^2(a-b)/a^2b-ab^2

化简下列分式:x^2+x/(x^2-1) x^2+4x/x^2+8x+16 ab^2(a-b)/a^2b-ab^2
化简下列分式:x^2+x/(x^2-1) x^2+4x/x^2+8x+16 ab^2(a-b)/a^2b-ab^2

化简下列分式:x^2+x/(x^2-1) x^2+4x/x^2+8x+16 ab^2(a-b)/a^2b-ab^2
x^2+x/(x^2-1)
=x(x+1)/(x+1)(x-1)
=x/(x-1)
x^2+4x/x^2+8x+16
=x(x+4)/(x+4)^2
=x/(x+4)
ab^2(a-b)/a^2b-ab^2
=ab^2(a-b)/ab(a-b)
=b