1. The problem involves two separate variables $a$ and $b$, not their absolute values. 2. When working with two variables, expressions or equations involving $a$ and $b$ are treated independently unless a relationship is given. 3. For example, if you have an expression like $a + b$, it simply means the sum of $a$ and $b$. 4. If you need to solve for $a$ or $b$, you must have an equation or system of equations involving these variables. 5. Without absolute values, the sign of $a$ and $b$ matters and affects the result. 6. Always keep $a$ and $b$ distinct and do not assume any constraints unless specified. 7. If you want to manipulate expressions with $a$ and $b$, use algebraic rules such as addition, subtraction, multiplication, division, and factoring. 8. For example, to factor $a^2 - b^2$, use the difference of squares formula: $$a^2 - b^2 = (a - b)(a + b)$$. 9. This approach helps in simplifying expressions or solving equations involving $a$ and $b$. 10. If you have a specific problem involving $a$ and $b$, please provide it for detailed steps.