求数学天才解分式方程,

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求数学天才解分式方程,求数学天才解分式方程, 求数学天才解分式方程,(x-3)/(x²-1)-3/(1-x)=(x-3)/[(x+1)(x-1)]+3/(x-1)=(x-3)/[(

求数学天才解分式方程,
求数学天才解分式方程,
 

求数学天才解分式方程,
(x-3)/(x²-1)-3/(1-x)
=(x-3)/[(x+1)(x-1)]+3/(x-1)
=(x-3)/[(x+1)(x-1)]+3(x+1)/[(x+1)(x-1)]
=[(x-3)+3(x+1)]/(x²-1)
=4x/(x²-1)

原式:(x-3)/(x²-1)-3/(1-x)=(x-3)/(x²-1)+3/(x-1)=(x-3)/(x²-1)+3(x+1)/(x²-1)=
(x-3+3x+3)/(x²-1)=4x/(x²-1)