Problem
 

When I'm driving my car and give it a little gas it will slightly move to the left when I let off the gas. Do you think its the differencials.

Start with the easy stuff:

1. Check your tire pressures all around
2. Get a proper alignment done

i agree :bigthumb:

Mismatched rear tires? Loose pillow balls or worn rubber bushings?

These and the other posted suggestions are possible, but the diff won't cause this.