问题标题:
初中数学约分.a²+3ab/a²b+3ab²xy+xy²/x²y³+x²y(4次)3ab+3b²/a²b+2ab+b³x²-2x-3/x³+2x²-15x约分求值~~3a²-ab/9a²-6ab+b³其中a=3/4,b=
问题描述:

初中数学约分.

a²+3ab/a²b+3ab²xy+xy²/x²y³+x²y(4次)

3ab+3b²/a²b+2ab+b³x²-2x-3/x³+2x²-15x

约分求值~~

3a²-ab/9a²-6ab+b³其中a=3/4,b=-2/3

罗德荣回答:
  a²+3ab/a²b+3ab²   =a(a+3b)/[ab(a+3b)]   =1/b   xy+xy²/x²y³+x²y(4次)   =xy(1+y)/[x²y³(1+y)]   =1/(xy²)   3ab+3b²/a²b+2ab+b³   =3b(a+b)/[b(a²+2a+b²)]   =(3a+3b)/(a²+2a+b²)   x²-2x-3/x³+2x²-15x   =(x-3)(x+1)/[x(x²+2x-15)]   =(x-3)(x+1)/[x(x-3)(x+5)]   =(x+1)/(x²+5x)   3a²-ab/9a²-6ab+b³   =a(3a-b)/(3a-b)²   =a/(3a-b)   =(3/4)/[(9/4)+(2/3)]   =(3/4)/(35/12)   =35/16
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