Fluid Flow: Bernoulli theorem applicability

Bernoulli theorem is based on the principle of conservation of total energy with fluid. When the flow is divided into 2 or more streams, then how can we apply the Bernoulli theorem?

we can apply continuity equation, if density remains constant then Q1= Q2 + Q3. for same area velocity will be in relation v1=v2+v3. but will v2 be equal to v3? 

The relation between v2 and v3 will be found out by applying Bernoulli theorem. The total energy in will be equal to sum of the total energy out with two streams, but the energy per unit mass/weight will be same at any point in the fluid. So Bernoulli theorem can be applied between any two points.