已知x+y=4,x^2+y^2=10,求(x-y)^2
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已知x+y=4,x^2+y^2=10,求(x-y)^2
已知x+y=4,x^2+y^2=10,求(x-y)^2
已知x+y=4,x^2+y^2=10,求(x-y)^2
(x+y)²=x²+2xy+y²
(x-y)²=x²-2xy+y²
两式相加得
(x+y)²+(x-y)²=2(x²+y²)
4²+(x-y)²=2×10
16+(x-y)²=20
(x-y)²=4
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