Can you express my question, please ?

I have a question, i don't understand.....
"I am going to go home tomorrow" and "I am going home tomorrow".
"You are going to go to school next week" and "You are going to school next week"
How are they difference ??   different

Sometimes it's a matter of style... I nearly always say 'going to go'... but there is no logical reason for my preference! It's a habit!

And some people disapprove of the repetition in going to go! So it's their style NOT to use it.

And as Frank has said, some will use going to go as a more emphatic version of going.

As the saying goes... "You pays your money and you takes your choice!" (Ignore the grammar here... it's a saying!)

Can you express my question, please ?

I have a question, i don't understand.....
"I am going to go home tomorrow" and "I am going home tomorrow".
"You are going to go to school next week" and "You are going to school next week"
How are they difference ??

In many case, they are used interchangeably, but there is a slight difference.  "Going to go to" more strongly implies an intention to go, especially after some decision is made.

"I thought about going to the park, but I think I'm going to go the movies instead."

Hope this helps.

"I am going to go home tomorrow"
"You are going to go to school next week"

When you use "going to" plus the root of the verb, it expresses an intention to do an action. 

More examples:

I am going to bake a cake / I intend to bake a cake

He was going to run the marathon / He intended to run the marathon

"I am going home tomorrow"

"You are going to school next week"

When you use "going" in this way, it implies that this action will definitely take place.

I hope this helps =)