m^4-4m^3+4m^2-9(因式分解)

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m^4-4m^3+4m^2-9(因式分解)

m^4-4m^3+4m^2-9(因式分解)
m^4-4m^3+4m^2-9(因式分解)

m^4-4m^3+4m^2-9(因式分解)
=m^2(m-2)^2-9
=[m(m-2)+3][m(m-2)-3]
=(m^2-2m+3)(m^2-2m-3)
=(m^2-2m+3)(m-3)(m+1)