已知A=2x^2-3xy+2y^2,B=x^2+xy-3y^2 且C=2A-B.(1)求多项式C.(2)当X=-1,y=-2时求多项式C的值

问题描述:

已知A=2x^2-3xy+2y^2,B=x^2+xy-3y^2 且C=2A-B.(1)求多项式C.(2)当X=-1,y=-2时求多项式C的值


C=2A-B
=2(2x²-3xy+2y²)-(x²+xy-3y²)
=(4x²-x²)+(-6xy-xy)+(4y²+3y²)
=3x²-7xy+7y²

当x=-1时,y=-2
则C
=3x²-7xy+7y²
=3×1-7×(-2)×(-1)+7×4
=3-14+28
=17