3(x^2 - 2x + 3) = 3x^2 - 6x + 9

Mon, 04 May 2026 09:00:00 +0000

# Understanding the Equation: 3(x² - 2x + 3) = 3x² - 6x + 9 When studying algebra, one of the most fundamental skills is simplifying and verifying equations—a process that reinforces understanding of distributive properties, factoring, and polynomial expansion. A common example that demonstrates these principles is the equation: 3(x² - 2x + 3) = 3x² - 6x + 9 This seemingly simple equation serves as a perfect illustration of the distributive property and serves as a model for checking equivalence between expressions. In this SEO-optimized article, we’ll explore step-by-step how to expand, simplify, and verify this equation, providing clear insights for students, teachers, and self-learners seeking to improve their algebraic fluency.