m^4-4m^3+4m^2-9因式分解
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 11:57:19
![m^4-4m^3+4m^2-9因式分解](/uploads/image/z/6111875-11-5.jpg?t=m%5E4-4m%5E3%2B4m%5E2-9%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
x)ˍ35ɍ3FOg/xiGۋmِlX qMrM4Qu4jrA"qF(bƚP&.6Դ/.H̳As=H\+Є yh
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
=m^2(m^2-4m+4)-9
=m^2(m-2)^2-9
=(m^2-2m)^2-3^2
=(m^2-2m+3)(m^2-2m-3)
=(m^2-2m+3)(m-3)(m+1)
m^4-4m^3+4m^2-9 =(m^2-2m)^2-9 =(m^2-2m+3)(m^2-2m-3) =(m^2-2m+3)(m-3)(m+1)