Question - Distributing Variables in Algebraic Expressions

1. Distribute \(3\) in \(3(4-x)\):

\(3 \cdot 4 - 3 \cdot x = 12 - 3x\)

2. Distribute \(4\) in \(4(y-2)\):

\(4 \cdot y - 4 \cdot 2 = 4y - 8\)

3. Distribute \(5\) in \(5/(2(3+7))\):

Since \(5\) is already outside the parenthesis, we focus on the denominator:

Calculate \(2(3+7) = 2 \cdot 10 = 20\), hence the expression becomes:

\(\frac{5}{20} = \frac{1}{4}\)