已知m+n=12 ,mn=3,那么m^2-mn+n^2=?我算135

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已知m+n=12 ,mn=3,那么m^2-mn+n^2=?我算135

已知m+n=12 ,mn=3,那么m^2-mn+n^2=?我算135
已知m+n=12 ,mn=3,那么m^2-mn+n^2=?
我算135

已知m+n=12 ,mn=3,那么m^2-mn+n^2=?我算135
(m+n)^2=m^2+2mn+n^2
m^2-mn+n^2
=m^2+2mn+n^2-3mn
=(m+n)^2-3mn
=144-9
=135
楼主没错啊……

=(m+n)²-3mn=12²-3*3=144-9=135
答案错误

m+n=12 所以(m+n)^2=144=m^2+2mn+n^2
则原式=144-3mn=144-9=135
答案错误 你是对的

m^2-mn+n^2
= m^2+n^2+2mn-2mn-mn
= m^2+n^2+2mn-3mn
= (m+n)^2-3mn
把m+n=12 ,mn=3代入有:
= 12^2-3*3
= 144-9
= 135