AbstractWe perform a SU(3) analysis for both semi-leptonic and non-leptonic heavy meson weak decays into a pseudoscalar meson and a fully-light tetraquark in 10 or 27 representation. A reduction of the SU(3) representation tensor for the fully-light tetraquarks is produced and all the flavor components for each representation tensor are listed. The decay channels we analysis include $$B/D \rightarrow U/T~P~l\nu $$
B
/
D
→
U
/
T
P
l
ν
, $$B/D \rightarrow U/T~P $$
B
/
D
→
U
/
T
P
and $$B_c \rightarrow U/T~P/D$$
B
c
→
U
/
T
P
/
D
, with U/T represents a fully-light tetraquark in 10 or 27 representation and P is a pseudoscalar meson. Finally, among these results we list all the golden decay channels which are expected to have more possibilities to be observed in experiments.