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计算:(m-1/m^2+3m+2)-(6/m^2-m-2)

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计算:(m-1/m^2+3m+2)-(6/m^2-m-2)
通分:x-2/4x^2-4x,x-1/x^2-2x,1/x^3-3x^2+2x
计算:(m-1/m^2+3m+2)-(6/m^2-m-2)
(m-1)/(m^2+3m+2)-6/(m^2-m-2)
=(m-1)/(m+1)(m+2)-6/(m+1)(m-2)
=(m-1)(m-2)/(m+1)(m+2)(m-2) -6(m+2)/(m+1)(m+2)(m-2)
=(m^2-3m+2-6m-12)/(m+1)(m+2)(m-2)
=(m^2-9m-10)/(m+1)(m+2)(m-2)
=(m+1)(m-10)/(m+1)(m+2)(m-2)
=(m-10)/(m+2)(m-2)
=(m-10)/(m^2-4)