G(3) = rac{4(3)^2 + 3}{3 - 1}

["Understanding the Expression G(3) = (4×3² + 3)/(3 − 1): A Clear Breakdown", "Calculating G(3) when defined as ( G(3) = \dfrac{4(3)^2 + 3}{3 - 1} ) may seem simple, but understanding every step enhances mathematical clarity and problem-solving skills. Let’s break down this expression, solve it step-by-step, and uncover the value of G(3) using proper conventions.", "---", "### What Does G(3) Represent?", "G(3) is a function value expression where the input is 3. The formula ( G(3) = \dfrac{4(3)^2 + 3}{3 - 1} ) represents a rational function involving basic operations: exponentiation, multiplication, addition, and division.", "---", "### Step-by-Step Evaluation", "Start with the original expression:\n[\nG(3) = \dfrac{4(3)^2 + 3}{3 - 1}\n]", "Step 1: Evaluate the Exponent\n( (3)^2 = 9 )", "Substitute back:\n[\nG(3) = \dfrac{4(9) + 3}{3 - 1}\n]", "Step 2: Perform Multiplication\n( 4 \ imes 9 = 36 )", "Now:\n[\nG(3) = \dfrac{36 + 3}{3 - 1}\n]", "Step 3: Add and Subtract Inside Parentheses\n( 36 + 3 = 39 )\n( 3 - 1 = 2 )", "So:\n[\nG(3) = \dfrac{39}{2}\n]", "---", "### Final Result", "[\nG(3) = \dfrac{39}{2} = 19.5\n]", "---", "### Why This Formula Matters", "Expressions like ( G(3) ) appear in algebraic modeling, function evaluation, and real-world problem-solving where predictable outputs depend on variable inputs. Understanding how to compute such values builds a strong foundation in algebra and supports more advanced topics such as calculus and mathematical analysis.", "---", "### Summary", "- ( G(3) = \dfrac{4(3)^2 + 3}{3 - 1} ) simplifies to ( \dfrac{39}{2} )\n- Final answer: ( G(3) = 19.5 )\n- Key skills: applied exponentiation, parentheses evaluation, and fraction simplification", "This simple yet precise calculation illustrates the clarity math can bring—turning abstract symbols into concrete numerical results.", "---", "Keywords for SEO Optimization:\nG(3) calculation, fraction evaluation, solving algebraic expressions, exponentiation esempio, rational functions step-by-step, mathematical problem solving, evaluate 4(3)² + 3, simplify (3−1), algebra tutorial, rational expression simplification", "Meta Description:\nLearn how to compute G(3) = (4×3² + 3)/(3 − 1) step-by-step. This guide explains exponentiation, arithmetic operations, and simplifying rational expressions for better math understanding."]