
先化简,再求值:(x^2-1)/(x-3)/(x^2+2x+1)/(x-3)-(x-1)/1,其中x=根号下2+1
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(x^2-1)/(x-3)/(x^2+2x+1)/(x-3)-(x-1)/1
原式=(x+1)(x-1)/(x-3)点乘(x-3)/(x+1)^2 -(x-1)
=(x-1)/(x+1)-(x-1)
=[(x-1)-(x^2-1)]/(x+1)
=x(1-x)/(x+1)
当x=根号下2+1时,
原式=(-2-根号2)/(2+根号2)
=-1
原式=(x+1)(x-1)/(x-3)点乘(x-3)/(x+1)^2 -(x-1)
=(x-1)/(x+1)-(x-1)
=[(x-1)-(x^2-1)]/(x+1)
=x(1-x)/(x+1)
当x=根号下2+1时,
原式=(-2-根号2)/(2+根号2)
=-1
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