已知m+n=2012,求m²-n²+4024n的值
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![已知m+n=2012,求m²-n²+4024n的值](/uploads/image/z/12671031-39-1.jpg?t=%E5%B7%B2%E7%9F%A5m%2Bn%3D2012%2C%E6%B1%82m%26%23178%3B-n%26%23178%3B%2B4024n%E7%9A%84%E5%80%BC)
已知m+n=2012,求m²-n²+4024n的值
已知m+n=2012,求m²-n²+4024n的值
已知m+n=2012,求m²-n²+4024n的值
∴原式=(m+n)(m-n)+4024n
=2012(m-n)+4024n
=2012m-2012n+4024n
=2012(m+n)
=2012×2012
=4048144
m²-n²+4024n
=(m+n)(m-n)+4024n
=2012m-2012n+4024n
=2012m+2012n
=2012(m+n)
=2012x2012
=4048144
(N-2012)^2=M^2
M^2-(N-2012)^2+2012^2=2012^2