因式分解(m的2次方+n的2次方)的2次方减去4m2次方n的2次方怎么做

2024-12-02 11:21:23
推荐回答(3个)
回答1:

解:(m^2+n^2)^2-4m^2*n^2
=m^4+2m^2n^2+n^4-4m^2n^2
=m^4-2m^2n^2+n^4
=(m^2-n^2)^2
=[(m+n)(m-n)]^2
=(m+n)^2(m-n)^2

回答2:

原式=(m²+n²+2mn)(m²+n²-2mn)
=(m+n)²(m-n)²

回答3:

解:题目是 分解因式 (m^2+n^2)^2-4m^2*n^2