作业帮化简:(x+2/x-2+4/x^2-4x+4)除x/x-2
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/03 21:59:33
化简:(x+2/x-2+4/x^2-4x+4)除x/x-2
化简:(x+2/x-2+4/x^2-4x+4)除x/x-2
化简:(x+2/x-2+4/x^2-4x+4)除x/x-2
[(x+2)/(x-2)+4/(x^2-4x+4)]÷[x/(x-2)
=[(x+2)/(x-2)+4/(x^2-4x+4)]*(x-2)/x
=(x+2)/(x-2)*(x-2)/x+4/(x-2)^2*(x-2)/x
=(x+2)/x+4/x(x-2)
=[(x+2)(x-2)+4]/[x(x-2)]
=(x^-4+4)/[x(x-2)]
=x/(x-2)
是(x+2/x-2+4/x^2-4x+4)除以x/x-2
=[(x+2)(x-2)+4]/(x-2)^2*(x-2)/x
=x^2/(x-2)^2*(x-2)/x
=x/(x-2)
化简后得
X/（X-2）
希望我的回答您能满意！！！
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