已知m+2n=3，m-2n=1，则代数式16m²n²-(m²+4n²)²的值为( )

答案

正确答案：D

知识点：略

∵m+2n=3，m-2n=1，
∴16m²n²-(m²+4n²)²
=(4mn)²-(m²+4n²)²
=(4mn+m²+4n²)(4mn-m²-4n²)
=-(m+2n)²(m-2n)²
=-3²×1²
=-9．
故选D

略

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