Theory Resultant are considered as one of the new mathematical
tools that motivate the researchers in all mathematical
domains.They use in solving many of mathematical problems.
In this paper we have studied a well known problem called
Jacobian problem, we introduce some new results in
the framework of this problem, we give a
proof to this problem in special case by reducing the resultant of
general polynomial using some MAPLE command. In the same
way, we can deduce the general case.