化简求值:(m的平方-n的平方)的平方÷(m的平方-2mn+n的平方)-(m的平方+n的平方),
2个回答
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^2是平方的意思
已知:|m^2+n^2-8|+(m-n-1)^2=0
则m^2+n^2=8,m-n=1
(m-n)^2=m^2-2mn+n^2
把m^2+n^2=8,m-n=1代入
1=8-2mn
2mn=7
(m^2-n^2)^2/(m^2-2mn+n^2)-(m^2+n^2)
=[(m+n)(m-n)]^2/(m-n)^2-(m^2+n^2)
=(m+n)^2 (m-n)^2/(m-n)^2-(m^2+n^2)
=(m+n)^2-(m^2+n^2)
=m^2+2mn+n^2-m^2-n^2
=2mn
=7
的确有点麻烦的说,不过这都是我纯手工的内~
已知:|m^2+n^2-8|+(m-n-1)^2=0
则m^2+n^2=8,m-n=1
(m-n)^2=m^2-2mn+n^2
把m^2+n^2=8,m-n=1代入
1=8-2mn
2mn=7
(m^2-n^2)^2/(m^2-2mn+n^2)-(m^2+n^2)
=[(m+n)(m-n)]^2/(m-n)^2-(m^2+n^2)
=(m+n)^2 (m-n)^2/(m-n)^2-(m^2+n^2)
=(m+n)^2-(m^2+n^2)
=m^2+2mn+n^2-m^2-n^2
=2mn
=7
的确有点麻烦的说,不过这都是我纯手工的内~
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