已知:单项式mn满足2x(M+3x)=6x²y²+N,求MN

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已知:单项式mn满足2x(M+3x)=6x²y²+N,求MN
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已知:单项式mn满足2x(M+3x)=6x²y²+N,求MN
已知:单项式mn满足2x(M+3x)=6x²y²+N,求MN

已知:单项式mn满足2x(M+3x)=6x²y²+N,求MN
2x(M+3x)=6x²y²+N
2xM+6x²=6x²y²+N
由于6x²=6x²y²不恒等,根据对应项相等,得
2xM=6x²y² 6x²=N

M=3xy² N=6x²
MN=3xy²*6x²=18x³y²

2x(M+3x)=6x²y²+N,
2xM+6x²=6x²y²+N,
所以
N=6x²
M=6x²y²÷2x=3xy²

2x(M+3x)=6x²y²+N,
2xM+6x²=6x²y²+N,
对应相等得出:
N=6x²
M=3xy