(m^2+2m)^2-(2m+4n^2)^2因式分解

ssyyss2022-10-04 11:39:543条回答

(m^2+2m)^2-(2m+4n^2)^2因式分解

已提交,审核后显示!提交回复

共3条回复
trute 共回答了20个问题 | 采纳率95%
(m^2+2m)^2-(2m+4n^2)^2
=[(m²+2m)+(2m+4n²)][(m²+2m)-(2m+4n²)]
=(m²+4m+4n²)(m²-4n²)
=(m+2n)(m-2n)(m²+4m+4n²)
1年前
coin3344 共回答了1569个问题 | 采纳率
(m^2+2m)^2-(2m+4n^2)^2
=(m^2+2m+2m+4n^2)(m^2+2m-2m-4n^2)
=(m^2+4m+4n^2)(m+2n)(m-2n)
1年前
石湾公 共回答了612个问题 | 采纳率
(m^2+2m)^2-(2m+4n^2)^2因式分解
解,得:
==[(m^2+2m)+(2m+4n^2)]*[(m^2+2m)-(2m+4n^2)]
==(m^2+2m+2m+4n^2)*(m^2+2m-2m-4n^2)
==(m^2+4m+4n^2)*(m^2-4n^2)
==(m^2+4m+4n^2)*(m-2n)(m+2n)
1年前

相关推荐