Hewlett-Packard plans to separate its personal-computer and printer businesses from its corporate hardware and services operations, the latest attempt by the technology company to improve its fortunes by breaking itself in two. The company intends to announce the move on Monday, people familiar with the plan said. It is expected to make the split through a tax-free distribution of shares to stockholders next year, said one of the people. If the division goes off as planned, it would give rise to two publicly traded companies, each with more than $50 billion in annual revenue. A number of big companies, including eBay in tech, have chosen to break up lately, in part because of a belief that operations with different growth profiles are best managed as separate entities.