Question

question
rewrite in simplest terms: $6(2s + 4s - 4) - 4s$

Explanation:

Step1: Combine like terms inside the parentheses

First, combine the \(2s\) and \(4s\) terms inside the parentheses. So \(2s + 4s = 6s\). The expression becomes \(6(6s - 4) - 4s\).

Step2: Distribute the 6

Use the distributive property \(a(b + c)=ab + ac\) (here \(a = 6\), \(b = 6s\), \(c=-4\)) to expand \(6(6s - 4)\). We get \(6\times6s-6\times4=36s - 24\). Now the expression is \(36s - 24 - 4s\).

Step3: Combine like terms

Combine the \(36s\) and \(-4s\) terms. \(36s-4s = 32s\). So the simplified expression is \(32s - 24\).

Answer:

\(32s - 24\)