已知x+y=-3,求(2x^2+xy+3y^2)-(x^2-xy+2y^2)的值.
问题描述:
已知x+y=-3,求(2x^2+xy+3y^2)-(x^2-xy+2y^2)的值.
答
(2x^2+xy+3y^2)-(x^2-xy+2y^2)
=2x^2+xy+3y^2-x^2+xy-2y^2
=x^2+2xy+y^2
=(x+y)^2
=(-3)^2
=9