
分式乘除法计算:(1)bc/a*2a/b^2c (2)b/a^2-9*a+3/b^2-b (3)x^2+xy/x-y/xy/x-y (4)a/a-b*(b-a/b)^2
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(1)bc/a*2a/b^2c
=(bc*2a)/(a*b²c)
=2/b
(2)b/a^2-9*a+3/b^2-b
=b/(a+3)(a-3) ×(a+3)/b(b-1)
=1/(a+3)(b-1)
=1/(ab+3b-a-3)
(3)x^2+xy/x-y/xy/x-y
=x(x+y)/(x-y) × (x-y)/xy
=(x+y)/y
(4)a/a-b*(b-a/b)^2
=a/(a-b) ×(a-b)²/b²
=a(a-b)/b²
=(bc*2a)/(a*b²c)
=2/b
(2)b/a^2-9*a+3/b^2-b
=b/(a+3)(a-3) ×(a+3)/b(b-1)
=1/(a+3)(b-1)
=1/(ab+3b-a-3)
(3)x^2+xy/x-y/xy/x-y
=x(x+y)/(x-y) × (x-y)/xy
=(x+y)/y
(4)a/a-b*(b-a/b)^2
=a/(a-b) ×(a-b)²/b²
=a(a-b)/b²
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