Question

use the distributive property to remove the parentheses.
(u - 6)3

Explanation:

Step1: Recall distributive property

The distributive property states that \(a(b + c)=ab + ac\) (or for subtraction, \(a(b - c)=ab - ac\)). Here, we have \((u - 6)3\), which can be rewritten as \(3(u - 6)\).

Step2: Apply distributive property

Applying the distributive property \(a(b - c)=ab - ac\) where \(a = 3\), \(b=u\), and \(c = 6\), we get:
\(3\times u-3\times6\)

Step3: Simplify the terms

Simplifying \(3\times u\) gives \(3u\) and \(3\times6 = 18\), so the expression becomes \(3u-18\).

Answer:

\(3u - 18\)