This was pointed out by going through extra dialog with Mr. House early on. Mr. House brokered a deal with the NCR to prevent them from annexing the Strip as the Legion was building up; effectively using the Legion to his advantage in the deal. They do not have many resources in New Vegas and it is stated quite often. All of their force is focused on holding one asset: Hoover Dam. The Strip is a secondary asset that does not require many resources to maintain; as it is not on the front line. In other words a full annexing of the strip would move enough resources from the dam to allow a successful Legion assault allowing them to take the area with minimal causalities. The NCR can not afford that as the entire home front is seeing this conflict sour rapidly. The NCR is not exactly stable and needs this massive national moral boost. Failure in the Mojave would hurt the entire NCR as that is a massive loss in resources.
Thus why Mr. House was able to broker a deal in the first place. As he also helped get the dam back online for them.