求解(x²-4/x²-4x+4 +2-x/x+2）除以x/x-2等于多少2-x分之x+2如何转化

求解(x²-4/x²-4x+4 +2-x/x+2）除以x/x-2等于多少2-x分之x+2如何转化
求解(x²-4/x²-4x+4 +2-x/x+2）除以x/x-2等于多少
2-x分之x+2如何转化

求解(x²-4/x²-4x+4 +2-x/x+2）除以x/x-2等于多少2-x分之x+2如何转化
[(x²-4)/(x²-4x+4) +(2-x)/(x+2)]/[x/(x-2)]
=[(x+2)(x-2)/(x-2)² -(x-2)/(x+2)]/[x/(x-2)]
=[(x+2)/(x-2)-(x-2)/(x+2)]/[x/(x-2)]
=[(x+2)²-(x-2)²](x-2)/[x(x-2)(x+2)]
=8x(x-2)/[x(x-2)(x+2)]
=8/(x+2)