已知:x^2+xy=7,xy-y^2=-2
求 1. x^2+y^2
2. 2x^2+xy+y^2
3. x^2-2xy+3y^2
已知:x^2+xy=7,xy-y^2=-2
求 1. x^2+y^2
2. 2x^2+xy+y^2
3. x^2-2xy+3y^2
1. x^2+y^2=x^2+xy-(xy-y^2)=7-(-2)=9
2.2x^2+xy+y^2 =2×(x^2+xy)-(xy-y^2)=2x^2+2xy-xy+y^2=2×7-(-2)=16
3.x^2-2xy+3y^2=x^2+xy-3×(xy-y^2)=7-(-2)×3=7+6=13