Question

use the distributive property to remove the parentheses
(x - 6)6

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 \((x - 6)6\), which can be rewritten as \(6(x - 6)\) (multiplication is commutative, so the order of multiplication doesn't matter).

Step2: Apply distributive property

Using the distributive property \(a(b - c)=ab - ac\) with \(a = 6\), \(b=x\), and \(c = 6\), we get:
\(6\times x-6\times6\)

Step3: Simplify the terms

Simplifying \(6\times x\) gives \(6x\) and \(6\times6 = 36\), so the expression becomes \(6x-36\).

Answer:

\(6x - 36\)