1. The problem is to find the shortcut or simplified method to solve a given algebraic expression or equation. 2. Generally, shortcuts involve recognizing patterns such as difference of squares, perfect square trinomials, or factoring common terms. 3. For example, the difference of squares formula is $$a^2 - b^2 = (a-b)(a+b)$$ which can simplify expressions quickly. 4. Another common shortcut is factoring perfect square trinomials: $$a^2 + 2ab + b^2 = (a+b)^2$$ or $$a^2 - 2ab + b^2 = (a-b)^2$$. 5. To apply a shortcut, first identify the pattern in the expression. 6. Then rewrite the expression using the formula. 7. Simplify the resulting factors if possible. 8. This approach saves time compared to expanding or using the quadratic formula. Final answer: Use pattern recognition such as difference of squares or perfect square trinomials to simplify expressions quickly.