已知m+n=2,mn=1,求m³n+mn³+2m²n²的值

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已知m+n=2,mn=1,求m³n+mn³+2m²n²的值
已知m+n=2,mn=1,求m³n+mn³+2m²n²的值

已知m+n=2,mn=1,求m³n+mn³+2m²n²的值
m³n+mn³+2m²n²
=mn(m²+n²+2mn)
=mn(m+n)²
=1×2²
=4

m³n+mn³+2m²n²
=mn(m²+2mn+n²）
=mn(m+n)²
=1*4
=4

m³n+mn³+2m²n²
=mn(m²+n²+2mn)
=mn(m+n)²
=1*2²
=4