因式分解:m^2-4n^2+4n-1,

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 20:34:52
因式分解:m^2-4n^2+4n-1,

因式分解:m^2-4n^2+4n-1,
因式分解:m^2-4n^2+4n-1,

因式分解:m^2-4n^2+4n-1,
原式=m^2-(4n^2-4n+1)=m^2-(2n-1)^2=(m+2n-1)(m-2n+1)

m^2-4n^2+4n-1
=m^2-(4n^2-4n+1)
=m^2-(2n-1)^2
=(m+2n-1)(m-2n+1)

=(m-2n)^2-1^2
=(m-2n+1)(m-2n-1)

正确答案为:
m^2-4n^2+4n-1
=m^2-(4n^2-4n+1)
=m^2-(2n-1)^2
=(m+2n-1)(m-2n+1)