The paper presents new recursion relations for tree amplitudes in gauge theory, which provide compact formulas for computing these amplitudes. The relations express any tree amplitude as a sum of terms constructed from products of two amplitudes with fewer particles, multiplied by Feynman propagators. Each term in the sum involves two physical amplitudes, ensuring that all particles are on-shell and momentum conservation is preserved. The authors demonstrate the effectiveness of these relations by recomputing all known tree-level amplitudes up to seven gluons and presenting a new result for an eight-gluon amplitude. They also show how to reduce any amplitude to a product of three-gluon amplitudes and propagators, highlighting the surprising simplicity of the resulting expressions. The paper discusses the implications of these relations, including their connection to MHV diagrams and the possibility of solving a set of amplitudes explicitly.The paper presents new recursion relations for tree amplitudes in gauge theory, which provide compact formulas for computing these amplitudes. The relations express any tree amplitude as a sum of terms constructed from products of two amplitudes with fewer particles, multiplied by Feynman propagators. Each term in the sum involves two physical amplitudes, ensuring that all particles are on-shell and momentum conservation is preserved. The authors demonstrate the effectiveness of these relations by recomputing all known tree-level amplitudes up to seven gluons and presenting a new result for an eight-gluon amplitude. They also show how to reduce any amplitude to a product of three-gluon amplitudes and propagators, highlighting the surprising simplicity of the resulting expressions. The paper discusses the implications of these relations, including their connection to MHV diagrams and the possibility of solving a set of amplitudes explicitly.