Expand 4(5k + 3m - p)

Check the final answer first, then review the worked steps.

Problem

Expand 4(5k + 3m - p)

Answer

\(20k + 12m - 4p\)

Step-by-step solution

  1. Identify the distributive property: To expand the expression $4(5k + 3m - p)$, we use the distributive property, which states that $a(b + c - d) = ab + ac - ad$. This means we must multiply the term outside the parentheses ($4$) by each term inside the parentheses individually.

2. Distribute the 4 to each term:
- Multiply $4$ by $5k$: $4 \times 5k = 20k$
- Multiply $4$ by $3m$: $4 \times 3m = 12m$
- Multiply $4$ by $-p$: $4 \times (-p) = -4p$

  1. Combine the results: Putting these products together, we get the expanded expression: $20k + 12m - 4p$.