m²(m-1)-4(1-m²)因式分解
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m²(m-1)-4(1-m²)因式分解
![m²(m-1)-4(1-m²)因式分解](/uploads/image/z/17923459-67-9.jpg?t=m%26%23178%3B%28m%EF%BC%8D1%29%EF%BC%8D4%281%EF%BC%8Dm%26%23178%3B%29%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
m²(m-1)-4(1-m²)
=m²(m-1)+4(m²-1)
=m²(m-1)+4(m+1)(m-1)
=(m-1)[m²+4(m+1)]
=(m-1)(m²+4m+4)
=(m-1)(m+2)²
=m²(m-1)+4(m²-1)
=m²(m-1)+4(m+1)(m-1)
=(m-1)[m²+4(m+1)]
=(m-1)(m²+4m+4)
=(m-1)(m+2)²