已知m^2-mn=7,mn-n^2=-2,求m^2-n^2及m^2-2mn+n^2的值.

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已知m^2-mn=7,mn-n^2=-2,求m^2-n^2及m^2-2mn+n^2的值.
已知m^2-mn=7,mn-n^2=-2,求m^2-n^2及m^2-2mn+n^2的值.

已知m^2-mn=7,mn-n^2=-2,求m^2-n^2及m^2-2mn+n^2的值.
m^2-mn=7,mn-n^2=-2,
相加
m^2-mn+mn-n^2=7-2
m^2-n^2=5
相减
m^2-mn-mn+n^2=7+2
m^2-2mn+n^2=9

m^2-mn=7 (1),
mn-n^2=-2 (2),
m^2-n^2=(1)+(2)=5
m^2-2mn+n^2=(1)-(2)=9

已知m^2-mn=7,mn-n^2=-2.则两式相加,得出m^2-n^2=7-2=5
两式相减,得到m^2-2mn+n^2=7-(-2)=9