已知m²-n²=4mn,求代数式m⁴+n⁴/m²n²的值(mn≠0)
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已知m²-n²=4mn,求代数式m⁴+n⁴/m²n²的值(mn≠0)
已知m²-n²=4mn,求代数式m⁴+n⁴/m²n²的值(mn≠0)
已知m²-n²=4mn,求代数式m⁴+n⁴/m²n²的值(mn≠0)
m⁴+n⁴/m²n²
=(m⁴-2m²n²+n⁴+2m²n²)/m²n²
=[(m²-n²)²+2m²n²]/m²n²
=[(4mn)²+2m²n²]/m²n²
=18m²n²/m²n²
=18
m⁴+n⁴/m²n²
=[(m²-n²)²+2m²n²]/m²n²
=(16m²n²+2m²n²)/m²n²
=18m²n²/m²n²
=18