已知x^2+xy=3,xy+y^2=-2,求下列各式的值 1. x^2-y^2 (2.) x^2+4xy+3y^2
问题描述:
已知x^2+xy=3,xy+y^2=-2,求下列各式的值 1. x^2-y^2 (2.) x^2+4xy+3y^2
已知x^2+xy=3,xy+y^2=-2,求下列各式的值
1. x^2-y^2
2. x^2+4xy+3y^2
答
1.
x^2-y^2=(x^2+xy)-(xy+y^2)
=3-(-2)
=5
2.
x^2+4xy+3y^2=(x^2+xy)+3(xy+y^2)
=3+3*(-2)
=-3