Example Question - variable distribution

Distributing Variables in Algebraic Expressions

<p>1. Distribute \(3\) in \(3(4-x)\):</p> <p>\(3 \cdot 4 - 3 \cdot x = 12 - 3x\)</p> <p>2. Distribute \(4\) in \(4(y-2)\):</p> <p>\(4 \cdot y - 4 \cdot 2 = 4y - 8\)</p> <p>3. Distribute \(5\) in \(5/(2(3+7))\):</p> <p>Since \(5\) is already outside the parenthesis, we focus on the denominator:</p> <p>Calculate \(2(3+7) = 2 \cdot 10 = 20\), hence the expression becomes:</p> <p>\(\frac{5}{20} = \frac{1}{4}\)</p>