若m等于它的倒数,则分式(m^2+4m+4)/(m^2-4)+(m^2+2m)/(m-2)的值为

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若m等于它的倒数,则分式(m^2+4m+4)/(m^2-4)+(m^2+2m)/(m-2)的值为

若m等于它的倒数,则分式(m^2+4m+4)/(m^2-4)+(m^2+2m)/(m-2)的值为
若m等于它的倒数,则分式(m^2+4m+4)/(m^2-4)+(m^2+2m)/(m-2)的值为

若m等于它的倒数,则分式(m^2+4m+4)/(m^2-4)+(m^2+2m)/(m-2)的值为
∵m等于它的倒数,
∶m=±1
(m^2+4m+4)/(m^2-4)+(m^2+2m)/(m-2)
=(m+2)²/(m+2)(m-2)+m(m+2)/(m-2)
=(m+2)/(m-2)+m(m+2)/(m-2)
=(m+2)/(m-2)×(1+m)
m=1时
(1+2)(1+1)/(2-1)
=6
m=-1时
(-1+2)(-1+1)/(-1-2)
=0