已知X+Y+Z=a,XY+YZ+XZ=b,求X*X+Y*Y+Z+Z的值,过程详细
人气:301 ℃ 时间:2020-04-02 21:17:29
解答
X*X+Y*Y+Z+Z?
是不是X*X+Y*Y+Z*Z?
X+Y+Z=a
平方
X*X+Y*X+Z*Z+2XY+2YZ+2XZ=a²
X*X+Y*X+Z*Z=A²-2(XY+YZ+XZ)=a²-2b
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