The square of \( (3x - 2) \) is \(\boxed{9x^2 - 12x + 4}\).**Question:

["SEO-Optimized Article: The Square of ( (3x - 2) ) Is ( \boxed{9x^2 - 12x + 4} ) – A Clear Algebraic Breakdown", "---", "Introduction\nMathematics thrives on patterns and formulas, and one of the foundational skills every student encounters is squaring binomials. A commonly asked question is: What is the square of ( (3x - 2) )? The correct expansion is ( \boxed{9x^2 - 12x + 4} ). In this article, we explore the step-by-step algebra behind squaring ( (3x - 2) ), explain why the result makes sense, and highlight why mastering this concept is essential for algebra success.", "---", "Why Squaring a Binomial Matters\nSquaring a binomial like ( (a + b)^2 = a^2 + 2ab + b^2 ) is a core algebraic identity. Practicing such expressions strengthens your ability to simplify, solve equations, and work with polynomials—skills needed across advanced math topics and real-life applications.", "---", "Step-by-Step Expansion of ( (3x - 2)^2 )", "To find ( (3x - 2)^2 ), use the binomial square formula:\n[\n(a - b)^2 = a^2 - 2ab + b^2\n]\nFor ( (3x - 2)^2 ), let ( a = 3x ) and ( b = 2 ). Substitute into the formula:", "1. Square the first term:\n [\n (3x)^2 = 9x^2\n ]", "2. Double the product of the terms:\n [\n 2 \cdot (3x) \cdot (2) = 12x\n ]", "3. Square the second term:\n [\n 2^2 = 4\n ]", "Combine all parts:\n[\n(3x - 2)^2 = 9x^2 - 12x + 4\n]", "This matches the exact boxed answer:\n[\n\boxed{9x^2 - 12x + 4}\n]", "---", "Understanding Each Term\n- The leading term ( 9x^2 ) comes from squaring ( 3x ), emphasizing coefficient doubling.\n- The middle term ( -12x ) arises from the negative cross term ( -2 \cdot 3x \cdot 2 ).\n- The constant ( +4 ) is simply ( 2^2 ), confirming the formula’s accuracy.", "---", "Common Mistakes to Avoid\n- Forgetting the negative sign in the cross term.\n- Misapplying the square to only one term.\n- Arithmetic errors, such as miscalculating ( 2 \cdot 3x \cdot 2 ).", "---", "Practical Applications and Why You Should Master This\nKnowing how to square binomials isn’t just classroom theory—it’s essential for:\n- Expanding and simplifying polynomial expressions.\n- Solving quadratic equations by factoring.\n- Working with functions and graphing.\n- Preparing for higher-level math like factoring quadratics, completing the square, and calculus fundamentals.", "---", "Conclusion\nThe square of ( (3x - 2) ) is officially ( \boxed{9x^2 - 12x + 4} ). By practicing binomial expansion step-by-step, you not only memorize the process but also build confidence in algebra. Whether you’re a student, teacher, or parent, mastering this formula helps unlock the next level of mathematical understanding. Start practicing today—your algebra skills will shine!", "---", "Meta Title:\nSquare of ( (3x - 2) ): Step-by-step Expansion and Why It’s ( 9x^2 - 12x + 4 )\nMeta Description:\nLearn how to expand ( (3x - 2)^2 ) algebraically using the binomial formula. Step-by-step proof that the result is ( \boxed{9x^2 - 12x + 4} ), with clear examples and practical tips for mastering this core algebra skill.", "Keywords:\n( (3x - 2)^2 ), square of a binomial, algebra, binomial expansion, quadratic expressions, step-by-step math, polynomial expansion, solving algebra problems, math education.", "---", "Note: Optimizing for search engines involves using relevant keywords throughout, clear formatting with headers and bullet points, and including practical explanations that attract and retain readers—this article is crafted for discoverability and student engagement."]