(x-1分之2x-x+1分之3x)除以x^2-1分之x

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(x-1分之2x-x+1分之3x)除以x^2-1分之x

(x-1分之2x-x+1分之3x)除以x^2-1分之x
(x-1分之2x-x+1分之3x)除以x^2-1分之x

(x-1分之2x-x+1分之3x)除以x^2-1分之x
[2x/(x-1)-3x/(x+1)]÷x/(x^2-1)
=[2x/(x-1)-3x/(x+1)]*(x^2-1)/x
=[2x/(x-1)-3x/(x+1)]*(x+1)(x-1)/x
=[2x/(x-1)*(x+1)(x-1)/x-3x/(x+1)*(x+1)(x-1)/x(应用分配率)
=2(x+1)-3(x-1)
=2x+2-3x+3
=-x+5

(x-1分之2x-x+1分之3x)除以x^2-1分之x
=[(2x/(x-1)-3x/(x+1)]* (x-1)(x+1)/x
=2(x+1)-3(x-1)
=2x+2-3x+3
=-x+5