计算：(x+2)/(x^2-4x+4)-1/(2x+4)-(x-1)/(2x^2-8)
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(x+2)/(x^2-4x+4)-1/(2x+4)-(x-1)/(2x^2-8)
=(x+2)/(x-2)^2-1/[2(x+2)]-(x-1)/[2(x+2)(x-2)]
=2(x+2)^2/[2(x-2)^2(x+2)]-(x-2)^2/[2(x+2)(x-2)^2]-(x-1)(x-2)/[2(x+2)(x-2)^2]
=[2(x+2)^2-(x-2)^2-(x-1)(x-2)]/[2(x+2)(x-2)^2]
=[(2x^2+8x+8)-(x^2-4x+4)-(x^2-3x+2)]/[2(x+2)(x-2)^2]
=(2x^2+8x+8-x^2+4x-4-x^2+3x-2)/[2(x+2)(x-2)^2]
=(15x+2)/[2(x+2)(x-2)^2]
=(x+2)/(x-2)^2-1/[2(x+2)]-(x-1)/[2(x+2)(x-2)]
=2(x+2)^2/[2(x-2)^2(x+2)]-(x-2)^2/[2(x+2)(x-2)^2]-(x-1)(x-2)/[2(x+2)(x-2)^2]
=[2(x+2)^2-(x-2)^2-(x-1)(x-2)]/[2(x+2)(x-2)^2]
=[(2x^2+8x+8)-(x^2-4x+4)-(x^2-3x+2)]/[2(x+2)(x-2)^2]
=(2x^2+8x+8-x^2+4x-4-x^2+3x-2)/[2(x+2)(x-2)^2]
=(15x+2)/[2(x+2)(x-2)^2]
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