已知x+y=-3 求(2x²+xy+3y²)-(x²-xy+2y²)的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/16 01:32:24
已知x+y=-3求(2x²+xy+3y²)-(x²-xy+2y²)的值已知x+y=-3求(2x²+xy+3y²)-(x²-xy+2

已知x+y=-3 求(2x²+xy+3y²)-(x²-xy+2y²)的值
已知x+y=-3 求(2x²+xy+3y²)-(x²-xy+2y²)的值

已知x+y=-3 求(2x²+xy+3y²)-(x²-xy+2y²)的值
(2x²+xy+3y²)-(x²-xy+2y²)
=2x²+xy+3y²-x²+xy-2y²
=x²+2xy+y²
=(x+y)²
=3²
=9

已知x+y=-3 求(2x²+xy+3y²)-(x²-xy+2y²)的值
原式=x²+2xy+y²=(x+y)²=(-3)²=9

(2x²+xy+3y²)-(x²-xy+2y²)
=x^2+2xy+y^2
=(x+y)^2
=(-3)^2
=9

(2x²+xy+3y²)-(x²-xy+2y²)
=x²+2xy+y²
=(x+y)²
=(-3)²
=9