A new substance is formed after the constituents are chemically combined. So, a compound has different properties from its constituents. No new substances are formed in mixtures and their properties are dependent on the properties of their respective constituents.
The constituents of a compound can only be separated by either chemical or electrochemical methods (like extraction). Mixtures can be separated into their constituents via physical separation methods such as filtration. Thus, the separation of mixtures is relatively easier than the separation of chemical compounds.