已知x+y=3,xy=-2,你能求出x2-2xy+y²的值么

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已知x+y=3,xy=-2,你能求出x2-2xy+y²的值么已知x+y=3,xy=-2,你能求出x2-2xy+y²的值么已知x+y=3,xy=-2,你能求出x2-2xy+y

已知x+y=3,xy=-2,你能求出x2-2xy+y²的值么
已知x+y=3,xy=-2,你能求出x2-2xy+y²的值么

已知x+y=3,xy=-2,你能求出x2-2xy+y²的值么
x2-2xy +y2=(x+y)2-4xy=3*3-4*(-2)=17

(x+y)²=x²+2xy+y²=9 x²+2xy+y²-4xy=x²-2xy+y²=17

x²-2xy+y²=(x-y)²=(x+y)²-4xy=9+8=17