[tex]x*y = xy+\hat{6}x+\hat{6}y+\hat{2} \\ \\x*y =x(y+\hat{6})+\hat{6}y+6\cdot \hat{7}+\hat{2}} \\ \\ x*y =x(y+\hat{6})+\hat{6}y+6\cdot \hat{6}+\hat{6}+\hat{2}} \\ \\ x*y =x(y+\hat{6})+\hat{6}y+6\cdot \hat{6}+\hat{1}\\ \\x*y =x(y+\hat{6})+\hat{6}(y+\hat{6})+\hat{1} \\ \\ x*y = (x+\hat{6})(y+\hat{6})+\hat{1}[/tex]
