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已知xy=-2,x-y=3,求(x+y)(x-y)-y^2+(x-y)^2-(6x^2y-2xy^2

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解决时间 2021-01-28 15:19
  • 提问者网友:容嬷嬷拿针来
  • 2021-01-27 21:41
已知xy=-2,x-y=3,求(x+y)(x-y)-y^2+(x-y)^2-(6x^2y-2xy^2
最佳答案
  • 五星知识达人网友:洒脱疯子
  • 2021-01-27 22:49
(x+y)(x-y)-y^2+(x-y)^2-(6x^2y-2xy^2)÷2y =(x+y)(x-y)-y^2+(x-y)^2-2y(3x^2-xy)÷2y =(x+y)(x-y)-y^2+(x-y)^2-(3x^2-xy) =(x+y)(x-y)+(x-y)^2-y^2-(3x^2-xy) =[(x+y)+(x-y)](x-y)-y^2-(3x^2-xy) =2x(x-y)-y^2-(3x^2-xy) =2x^2-2xy-y^2-3x^2+xy =-x^2-xy-y^2=-(x^2+y^2+xy)=-(x^2-2xy+y^2+3xy)=-[(x-y)^2+3xy]=-[3^2+3*(-2)]=-(9-6)=-3======以下答案可供参考======供参考答案1:(x+y)(x-y)-y^2+(x-y)^2-(6x^2y-2xy^2)÷2y =x²-y²-y²+x²+y²-2xy-3x²+2xy=-x²-y²+2xy-2xy=-[(x-y)²+2xy]=-[9-4】=-5供参考答案2:x=-1,y=2,代入可得3
全部回答
  • 1楼网友:迟山
  • 2021-01-27 23:49
这个答案应该是对的
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