化简分式|x-1|/(x^2+2x-3)

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化简分式|x-1|/(x^2+2x-3)

原式=|x-1|/(x+3)(x-1)
当x>1地时候~原式=1/(x+3)
当x

|x-1|/(x^2+2x-3)
=|x-1|/(x+3)(x-1)
=|x-1|/(x-1)(x+3)
=+1/(x+3)或-1/(x+3)

解:原式=[±(x-1)]/[(x-1)*(x+3)]=±1/(x+3)