(m^2+2m)^2-(2m+4n^2)^2因式分解快

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/10 11:01:38
(m^2+2m)^2-(2m+4n^2)^2因式分解快

(m^2+2m)^2-(2m+4n^2)^2因式分解快
(m^2+2m)^2-(2m+4n^2)^2因式分解
快

(m^2+2m)^2-(2m+4n^2)^2因式分解快
(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)

(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)

(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)

4m(m-m)-2n(n-m) (1),(-m-n)(-m+n) (2),(-m+n)(m-n) (m-2n)(-m-n) 2(m-n)²-m(m-n) (n/m+n/2m^2)*4m/n^2 [(m-n)^2*(m-n)^3]^2/(m-n)^4 [(m-n)^2*(m-n)^3]^2/(m-n)^4 4m^2(m+n)-9n^2(m+n) 因式分解4m^2(m-n)+4n(n-m) 4m(m-n)^2+4n(n-m)^3 （m-n)2(n-m)3(n-m)4化简 （m-n)(m+n)+(m+n)²-2m² (m-n)^2*(m-n)^4=? [(m+n)(m-n)-(m-n)²+2n(m-n)]÷4n m+n/4m^-n^-m-2m/n^-4m^= 已知3m=4n,则m/m+n+n/m-n-m^2/m^2-n^2= mn(m-n)-m(n-m)²2m(m-n)(2n-m)求过程 计算m+2m/n-m + n/m-n - 2m/n-m