Calculate: \( 2(4 \times 5 + 4 \times 6 + 5 \times 6) = 2(20 + 24 + 30) = 2 \times 74 = 148 \)
["Understanding the Calculation: ( 2(4 \ imes 5 + 4 \ imes 6 + 5 \ imes 6) = 148 )", "Simplifying expressions like ( 2(4 \ imes 5 + 4 \ imes 6 + 5 \ imes 6) ) is a fundamental skill in math that appears frequently in academics, coding, and everyday problem-solving. In this article, we break down the step-by-step calculation to show exactly how to transform complex expressions into final answers efficiently and accurately.", "---", "### Breaking Down the Expression Step-by-Step", "The expression to evaluate is:\n[ 2(4 \ imes 5 + 4 \ imes 6 + 5 \ imes 6) ]", "#### Step 1: Perform the Multiplications Inside Parentheses\nTo simplify, first compute each product inside the parentheses:\n- ( 4 \ imes 5 = 20 )\n- ( 4 \ imes 6 = 24 )\n- ( 5 \ imes 6 = 30 )", "Substituting these values back:\n[ 2(20 + 24 + 30) ]", "#### Step 2: Add the Values Within Parentheses\nNext, sum the computed numbers:\n[ 20 + 24 = 44 ]\n[ 44 + 30 = 74 ]", "Now the expression is:\n[ 2 \ imes 74 ]", "#### Step 3: Final Multiplication\nMultiply to get the final result:\n[ 2 \ imes 74 = 148 ]", "---", "### Why This Calculation Matters", "This example demonstrates a common arithmetic pattern used in algebra, programming, and advanced math problems:\n- Distributing multiplication before combining terms helps manage expressions cleanly.\n- Parentheses group operations correctly, ensuring accurate order of execution.\n- Stepwise simplification reduces errors, making it easier to verify each stage.", "---", "### Real-World Applications", "Such calculations form the backbone of more complex equations, such as cost estimations, physics problems involving force multiplication, or optimizing algorithms in software development. Mastering expressions like ( 2(4 \ imes 5 + 4 \ imes 6 + 5 \ imes 6) ) builds strong foundational numeracy.", "---", "### TL;DR: Quick Summary\n- Multiply individually: ( 4 \ imes 5 = 20 ), ( 4 \ imes 6 = 24 ), ( 5 \ imes 6 = 30 )\n- Add: ( 20 + 24 + 30 = 74 )\n- Multiply: ( 2 \ imes 74 = 148 )", "So, ( 2(4 \ imes 5 + 4 \ imes 6 + 5 \ imes 6) = 148 ) — and understanding how to compute it ensures accuracy in larger mathematical challenges.", "---", "For further practice or advanced explanations on algebraic simplification, visit online math tutorials or explore interactive calculation tools—reinforcing this concept makes tackling complex formulas effortless."]
