若m+n=3,则2m²+4mn+2n²-6的值为?a.12 b.6 c.3 d.0过程

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若m+n=3,则2m²+4mn+2n²-6的值为?a.12  b.6  c.3  d.0过程

若m+n=3,则2m²+4mn+2n²-6的值为?a.12 b.6 c.3 d.0过程
若m+n=3,则2m²+4mn+2n²-6的值为?
a.12 b.6 c.3 d.0
过程

若m+n=3,则2m²+4mn+2n²-6的值为?a.12 b.6 c.3 d.0过程
2m²+4mn+2n²-6
=2*(m²+2mn+n²)-6
=2*(m+n)²-6
=2*9-6
=12

2m²+4mn+2n²-6=2(m²+2mn+n²)-6=2(m+n)²-6=2x3²-6=12
所以答案是a

2m^2+4mn+2n^2-6
=2(m^2+2mn+n^2)-6
=2(m+n)^2-6
=12

a.12
2m²+4mn+2n²-6
=2(m²+2mn+n²)-6
=2(m+n)²-6
因为m+n=3,所以=2*(3)²-6=12

选A
过程是原式
=2(m方+2mn+n方)-6
=2(m+n)的平方-6
再把m+n=3带入