They are kind of opposite processes. Chemical synthesis is execution of chemical reactions to make products. Like you take two substances, you put them together, they react and you have new a substance. For example. [tex]2Na+{ Cl }_{ 2 }\rightarrow 2NaCl[/tex] here Sodium and Chlorine react to make a new substance which is Sodium Chloride.
Chemical decomposition is process of seperating a substance to different substances. There is a substance by a reaction this substance becomes two substances, Like : XY -> X+Y For example : [tex]2{ H }_{ 2 }O(l)\quad \rightarrow 2{ H }_{ 2 }+{ O }_{ 2 }[/tex]
