因式分解:m^4+4n^4

问题描述:

因式分解:m^4+4n^4

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