Final answer:
The term used to refer to both the PRC and the ROC or Taiwan is 'China'. The PRC was established by Mao Zedong in 1949, while the ROC government retreated to Taiwan and has maintained its separate status despite international pressure and diplomatic nuances.
Step-by-step explanation:
The term used to refer to both the People's Republic of China (PRC) and the Republic of China (ROC), or Taiwan, is China. After the end of World War II and Japan's defeat, there was a split between the Communist forces led by Mao official relations with Taiwan. The United States, for example, maintains informal relations with Taiwan through the