Solution: Multiply both sides by $ (x - 1)(x + 1) $ to eliminate denominators:

Sat, 02 May 2026 16:19:47 +0000

**Unlock Smarter Math: Why Multiplying Both Sides by $ (x - 1)(x + 1) $ Is a Game-Changer for Problem Solving** Ever found yourself tangled in a fraction-heavy equation, wishing there was a cleaner way to simplify? You’re not alone. Recently, a mathematical opener has sparked quiet buzz among students, educators, and curious minds across the U.S.: “Solution: Multiply both sides by $ (x - 1)(x + 1) $ to eliminate denominators.” It’s not flashy, but this move reveals a practical shortcut that transforms messy expressions into straightforward solutions—especially in algebra and real-world analytics. This technique isn’t about scripted answers—it’s about clarity. When working with rational equations, denominators can complicate understanding and delay next steps. Multiplying both sides by $ (x - 1)(x + 1) $, which expands to $ x^2 - 1 $, clears fractions cleanly while preserving equality. The result? Easier graphing, more accurate calculations, and quicker insights—tools increasingly useful in a world driven by data literacy and reasoned decision-making. ### How It Works: A Clear Breakdown for Every Learner