计算(x+2)/(x+1)-(x+3)/(x+2)-(x-4)/(x-3)+(x-5)/(x-4)
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(x+2)/(x+1)-(x+3)/(x+2)-(x-4)/(x-3)+(x-5)/(x-4)
=1+1/(x+1)-1-1/(x+2)-1+1/(x-3)+1-1/(x-4)
=1/(x+1)-1/(x+2)+1/(x-3)-1/(x-4)
=1/(x+1)(x+2)-1/(x-3)(x-4)
=[(x^2-7x+12)-(x^2+3x+2)]/(x+1)(x+2)(x-3)(x-4)
=(-10x+10)/(x+1)(x+2)(x-3)(x-4)
=-10(x-1)/(x+1)(x+2)(x-3)(x-4)
=1+1/(x+1)-1-1/(x+2)-1+1/(x-3)+1-1/(x-4)
=1/(x+1)-1/(x+2)+1/(x-3)-1/(x-4)
=1/(x+1)(x+2)-1/(x-3)(x-4)
=[(x^2-7x+12)-(x^2+3x+2)]/(x+1)(x+2)(x-3)(x-4)
=(-10x+10)/(x+1)(x+2)(x-3)(x-4)
=-10(x-1)/(x+1)(x+2)(x-3)(x-4)
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