What is the difference between dual core and core2duo Processors?

Imagine if a guy is asked to solve a math problem by himself, how long would it take for him to solve it, let's say a 5 to 10 minutes. How about two guys given the same math problem will they solve it faster than 5-10 minutes? Definitely yes because there are two brains working in tandem to solve the problem as fast sa possible compared to a single brain. That's where dual core comes in, a dual core processor is a CPU with two separate cores on the same die, each with its own cache. It is like having two microprocessors in one. Each processor core handles data strings simultaneously to improve efficiency. Like what I have said before two heads are better than one. In this case, one core can perform a certain task while the other will be excuting other tasks required. This would mean that your processing times for your programs will be faster and more efficient, thus handling multitasking even better and faster with ease. One brand like AMD has a dual-core processor which is 64-bit. On the other hand, Intel is a competing brand that offers their own dual core processor the Intel Core2duo also 64 bit. So that answers your question, dual core is a term for the processor while Core2duo is Intel's brand name for their dual core processors.