问题 解答题
先化简,再求值:[(3m+n)(3m-n)+n(n-6m)]÷3m,其中m=
1
3
,n=
1
4
答案

[(3m+n)(3m-n)+n(n-6m)]÷3m,

=[9m2-n2+n2-6mn]÷3m

=[9m2-6mn]÷3m

=3m-2n,

当m=

1
3
,n=
1
4
时,原式=3×
1
3
-2×
1
4
=
1
2

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