[(m+n)^2-4mn][(m-n)^2+4mn]+2(mn)^2
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原式=(m²+2mn+n²-4mn)(m²-2mn+n²+4mn)+2m²n²
=(m²-2mn+n²)(m²+2mn+n²)+2m²n²
=[(m-n)(m+n)]²+2m²n²
=(m²-n²)²+2m²n²
=m⁴-2m²n²+n⁴+2m²n²
=m⁴+n⁴
=(m²-2mn+n²)(m²+2mn+n²)+2m²n²
=[(m-n)(m+n)]²+2m²n²
=(m²-n²)²+2m²n²
=m⁴-2m²n²+n⁴+2m²n²
=m⁴+n⁴
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