若m+n=3,则2m²+4mn+2n²-6的值为?

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若m+n=3,则2m²+4mn+2n²-6的值为?
若m+n=3,则2m²+4mn+2n²-6的值为?

若m+n=3,则2m²+4mn+2n²-6的值为?
(m+n)²=3²
m²+2mn+n²=9
两边乘2
2m²+4mn+2n²=18
所以2m²+4mn+2n²-6=18-6=12

2m²+4mn+2n²-6
=2(m+n)²-6
=2*9-6
=12

2m²+4mn+2n²-6
=2(m²+2mn+n²)-6
=2(m+n)²-6
=2×3²-6
=2×9-6
=12

9+9-6=12

12

m+n=3
2m²+4mn+2n²-6
=2(m+n)^2-6
=2×3^2-6
=18-6
=12

12

2m²+4mn+2n²-6
=2(m+n)²-6
=2x3²-6
=18-6
=12

2(m+n)2-6=12