1. Problem: Simplify and manipulate algebraic expressions as needed. 2. Since no specific expression was given, here are general steps to manipulate algebraic expressions: 3. Identify like terms (terms with the same variables and exponents). 4. Combine like terms by adding or subtracting their coefficients. 5. Factor expressions by taking common factors or using special products (difference of squares, trinomial factoring). 6. Expand products using distributive property: $a(b+c) = ab + ac$. 7. Simplify complex expressions step by step, keeping track of signs and coefficients. 8. Always check your result by substitution or alternative methods if possible. Since no specific problem was given, I cannot provide a final numerical or factored answer.