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中括号(x-2/x+2)的平方-2+(x+2/x-2)的平方中括号除以(x-2/x+2-x+2/x-2)

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/27 21:23:27
中括号(x-2/x+2)的平方-2+(x+2/x-2)的平方中括号除以(x-2/x+2-x+2/x-2)
中括号(x-2/x+2)的平方-2+(x+2/x-2)的平方中括号除以(x-2/x+2-x+2/x-2)
={(x-2)/(x+2)]^2-2+[(x+2)/(x-2)]^2}/[(x-2)/(x+2)-(x+2)/(x-2)
={[(x-2)/(x+2)-(x+2)/(x-2)]^2}/{[(x-2)^2-(x+2)^2]/[(x+2)(x-2)]}
={[(x-2)/(x+2)-(x+2)/(x-2)]^2}×(x+2)(x-2)/[(x-2)^2-(x+2)^2]
=({[(x-2)^2-(x+2)^2]/[(x+2)(x-2)]}^2)×(x+2)(x-2)/[(x-2)^2-(x+2)^2]
={[(x-2)^2-(x+2)^2]^2}/[(x+2)(x-2)]}/[(x-2)^2-(x+2)^2]
={[(x-2)^2-(x+2)^2]^2}/{[(x+2)(x-2)[(x-2)^2-(x+2)^2]}
=[(x-2)^2-(x+2)^2]/[(x+2)(x-2)]
=[(x-2)+(x+2)][(x-2)-(x+2)]/[(x+2)(x-2)]
=[2x(-4)]/[(x+2)(x-2)]
=-8x/[(x+2)(x-2)]