用待定系数法解题:2x^2+3xy+y^2-4x-3y+2

问题描述:

用待定系数法解题:2x^2+3xy+y^2-4x-3y+2
要过程,急!

关键“齐二次的分解”2x^2+3xy+y^2=(2x+y)(x+y)设[(2x+y)+n][(x+y)+M]=(2x+y)(x+y)+n(x+y)+m(2x+y)+mn=(2x+y)(x+y)+(n+2m)+(n+m)y+mn对比系数得n+2m=-4且m+n=-3且mn=2n=-2,m=-1原式=(2x+y-2)(x+y-1)...