The five problems are not easy but could all be solved in mind by pattern discovery and application of suitable techniques. This set of solutions is rich in learning. The solutions and concepts are explained in details. Important concepts used are mathematical reasoning, pattern discovery, factorization of a long expression by pattern discovery or coefficient comparison, and division of one algebraic expression by a second by continued factor extraction method. The Concepts and Techniques form the BASIC SKILLSET for solving harder algebra problems EASILY IN MIND...