已知x^2-xy=14,xy-y^2=-11,求x^2-2xy+y^2的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/03 18:43:29
已知x^2-xy=14,xy-y^2=-11,求x^2-2xy+y^2的值已知x^2-xy=14,xy-y^2=-11,求x^2-2xy+y^2的值已知x^2-xy=14,xy-y^2=-11,求x^

已知x^2-xy=14,xy-y^2=-11,求x^2-2xy+y^2的值
已知x^2-xy=14,xy-y^2=-11,求x^2-2xy+y^2的值

已知x^2-xy=14,xy-y^2=-11,求x^2-2xy+y^2的值
x^2-xy=14,(1) xy-y^2=-11,(2)
(1)-(2)得:x^2-2xy+y^2=14-(-11)=25

x^2-xy=14,
xy-y^2=-11
两式相减得
x^2-2xy+y^2=25

25

x^2-xy=14,xy-y^2=-11,两式想减得到x^2-2xy+y^2=25

x^2-xy=14 为一式
xy-y^2=-11为二式
一式减去二式

x^2-2xy+y^2=14-(-11)=25