分解因式m^4-4m^2n^2+n^4

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分解因式m^4-4m^2n^2+n^4分解因式m^4-4m^2n^2+n^4分解因式m^4-4m^2n^2+n^4m^4-4m^2n^2+n^4=m^2(m^2-4n^2+n^4)=m^2(m-2n^

分解因式m^4-4m^2n^2+n^4
分解因式m^4-4m^2n^2+n^4

分解因式m^4-4m^2n^2+n^4
m^4-4m^2n^2+n^4
=m^2(m^2-4n^2+n^4)
=m^2(m-2n^2)^2

consider
x^2-4x+1=0
x = 2+√5 or 2-√5
m^4-4m^2n^2+n^4
= (m^2 -(2+√5)n^2). (m^2 -(2-√5)n^2)