x²-4x+4/x²-4+x-2/x²+2x+2
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解
原式=[(x-2)²/(x-2)(x+2)] +[(x-2)/x(x+2)]+2
=[(x-2)/(x+2)]+[(x-2)/x(x+2)]+[2x(x+2)/x(x+2)]
=[x(x-2)+(x-2)+2x(x+2)]/[x(x+2)]
=(3x²+3x-2)/[x(x+2)]
=(3x²+3x-2)/(x²+2x)
原式=[(x-2)²/(x-2)(x+2)] +[(x-2)/x(x+2)]+2
=[(x-2)/(x+2)]+[(x-2)/x(x+2)]+[2x(x+2)/x(x+2)]
=[x(x-2)+(x-2)+2x(x+2)]/[x(x+2)]
=(3x²+3x-2)/[x(x+2)]
=(3x²+3x-2)/(x²+2x)
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(x^2-4x+4)/(x^2-4) +(x-2)/(x^2+2x) +2
=(x-2)^2/[(x-2)(x+2)] +(x-2)/[x(x+2)] +2
=(x-2)/(x+2) +(x-2)/[x(x+2)] +2
=[ x(x-2) + (x-2) + 2x(x+2) ]/[x(x+2)]
=( x^2-2x + x-2 + 2x^2+4x )/[x(x+2)]
=( 3x^2+3x -2 )/[x(x+2)]
=(x-2)^2/[(x-2)(x+2)] +(x-2)/[x(x+2)] +2
=(x-2)/(x+2) +(x-2)/[x(x+2)] +2
=[ x(x-2) + (x-2) + 2x(x+2) ]/[x(x+2)]
=( x^2-2x + x-2 + 2x^2+4x )/[x(x+2)]
=( 3x^2+3x -2 )/[x(x+2)]
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