x^2+xy-6y^2+x+13y-6 x^2+xy-6y=[x+3y][x-2y] 所以设原式=[x+3y+m][x-2y+n] =[x+3y][x-2y]+n[x+3y]+m[x-2y]+mn =[x+3y][x-2y]+[n+m]x+[3n-2m]y+mn 则有: m+n=1 3n-2m=13 mn=-6 m=-2 n=3 所以原式=[x+3y-2][x-2y+3]满意请采纳