working off extra calories eaten?

If you are exercising more calories than your caloric surplus, then you will lose weight. Its no different then being at maintenance, then exercising, then eating back some of the exercise calories. The order of operations doesn't matter, what matters is if you are at a deficit or surplus at the end of the day.

Yeah its a low number and somewhat tough to stick to at times. It is recommended by my Dr, an obesity specialist. He thinks its better to lose the weight quicker; he says losing slowly over time is not better and doesnt keep the weight off any better. The idea is to have your body burning fat cells for energy ( actually a preferred fuel for brain and other organs compared to sugars).
Anyway its a short term method to lose fat quickly so exercise is easier, then i need to stay on a low fat diet.
I actually eat alot during the day, lots of veggies and lean protein but its the snacking on crappy stuff that gets me in trouble!

Firstly I agree with Ruby that you should be putting your questions to your doctor not us, but your comment about fat being better fuel for the brain and organs than sugars is mistaken because fats are converted to sugar (glucose) as fuel/energy for the body, the brain can only use glucose as a fuel/energy source, no matter what form the energy started off as.

Yeah its a low number and somewhat tough to stick to at times. It is recommended by my Dr, an obesity specialist. He thinks its better to lose the weight quicker; he says losing slowly over time is not better and doesnt keep the weight off any better. The idea is to have your body burning fat cells for energy ( actually a preferred fuel for brain and other organs compared to sugars).
Anyway its a short term method to lose fat quickly so exercise is easier, then i need to stay on a low fat diet.
I actually eat alot during the day, lots of veggies and lean protein but its the snacking on crappy stuff that gets me in trouble!

The lower the calories you aim for, the harder to stick to it. In fact, if our body is not getting enough of calories, our body system will automatically switched to starvation mode and thus u won't lose anything! Because our body will naturally store more fats for our system survival. And this will affect your natural metabolic rate to drop!
I used to be obese/overweight and thought eating little will get me the supermodel body i wanted. But in fact it was screwing up my metabolic rate. I couldn't even enjoyed one small slice of cake without putting on few pounds the day after!
And after all the depriving days, I tend to bounce back into my binging mood. And that doesn't help at all. I gained even more weights!

On top of that, you do workout, and it's even harder to survived on low calories intake. Too low cal might affect your post workout recovery and in the long run, you might suffer injuries. Also, losing the weight too fast will take a toll on your body. Your body will have no time to tone up and your skins will be left hanging there! Your habit of working out is really good, and this will ensure you are toning your body as well as losing them. But then again, to get a nice and healthy body, it has to be a gradual weight loss, not too fast. Most importantly, don't feel deprived in any kind of diets. And that will determine whether you will stick to it or not.

No offence to you Lea, but i have heard all the info youve given and my Dr calls those the dieting myths. Matabolism will lower in starvation mode but will recoup in a few weeks. There is alot of misinformation out there.

Very true!