Multiply

Explanation

• Distribute the multiplication by 6
  • \(6 \left( \frac{x}{3} + \frac92 \right) \) = \( 6 \cdot \frac{x}{3} + 6 \cdot \frac92 \)
• Factor 6 as 2 • 3 and then remove the common factors 3 and 2
  • = \( \require{cancel} \frac{2 \cdot \cancel{3}^1 \cdot x}{\cancel{3}_1} + \frac{\cancel{2}^1 \cdot 3 \cdot 9}{\cancel{2}_1} \)
  • = 2x + 27