因式分解 (m-2)³-m³
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因式分解 (m-2)³-m³
![因式分解 (m-2)³-m³](/uploads/image/z/18250589-29-9.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3+%EF%BC%88m-2%EF%BC%89%26%23179%3B-m%26%23179%3B)
(m-2)^3-m^3
=(m-2-m)[(m-2)^2+m(m-2)+m^2]
=-2[m^2-4m+4+m^2-2m+m^2]
=-2(3m^2-6m+4)
=(m-2-m)[(m-2)^2+m(m-2)+m^2]
=-2[m^2-4m+4+m^2-2m+m^2]
=-2(3m^2-6m+4)