作业帮[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
来源：学生作业帮助网 编辑：作业帮 时间：2024/09/28 13:56:03
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[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
[(x^2-4)/(x^2-4x+4)-(1)/(x-2)]*(x^2-2x)/(x+1)
=[(x+2)(x-2)/(x-2)^2-(1)/(x-2)]*x(x-2)/(x+1)
=[(x+2)/(x-2)-1/(x-2)]*x(x-2)/(x+1)
=(x+2-1)/(x-2)*x(x-2)/(x+1)
=(x+1)/(x-2)*x(x-2)/(x+1)
=x
最后结果为X
*-----------------------------------------------*| 6 4 X | 8 X X | X X 5 || X X X | X X X | X 7 8 || X X X | X X X | X X X ||---------------+---------------+--------------- || X X X | X X X | 5 1 X || X X X | X 6 X | X X X || 8 X X | 3 5 X | 2 X X ||
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