m^4n^4-2m^2n^2+1 分解因式

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m^4n^4-2m^2n^2+1 分解因式
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m^4n^4-2m^2n^2+1 分解因式
m^4n^4-2m^2n^2+1 分解因式

m^4n^4-2m^2n^2+1 分解因式
原式=(m²n²)²-2×m²n²+1²
=(m²n²-1)²
=(mn+1)²(mn-1)²

m^4n^4-2m^2n^2+1=(m^2n^2-1)^2=(mn-1)^2(mn+1)^2

m^4n^4-2m^2n^2+1
=(m^2n^2)^2-2*1*m^2n^2+1^2
=(m^2n^2-1)^2
=[(mn+1)(mn-1)]^2

m^4n^4-2m^2n^2+1
=(m^2n^2-1)^2
=(mn+1)^2(mn-1)^2