Determine Whether the Recurrence Relation Is a Linear Homogeneous Recurrence $$a _ { n } = 5 a _ { n - 1 } ^ { 2 } - 3 a _ { n - 2 } ^ { 2 }$$

determine whether the recurrence relation is a linear homogeneous recurrence relation with constant coefficients.
- $$a _ { n } = 5 a _ { n - 1 } ^ { 2 } - 3 a _ { n - 2 } ^ { 2 }$$