1. The problem is to find a short method or shortcut for solving algebraic expressions or equations efficiently. 2. One common short method is to use factoring, distributive property, or special formulas like difference of squares, perfect square trinomials, or sum/difference of cubes. 3. For example, the difference of squares formula is $$a^2 - b^2 = (a-b)(a+b)$$ which helps factor expressions quickly. 4. Another shortcut is to recognize patterns such as $$x^2 + 2xy + y^2 = (x+y)^2$$ which is a perfect square trinomial. 5. Using these formulas reduces the need for long multiplication or expansion, saving time and effort. 6. Always look for common factors first, then check if the expression fits any special formula. 7. Practice recognizing these patterns to apply the short methods effectively. 8. In summary, the short method involves identifying and applying algebraic identities and factoring techniques to simplify problems quickly.