Question

use the distributive property to write an equivalent expression.
9(6t - 2v + 9)

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c + d)=ab + ac + ad\). Here, \(a = 9\), \(b=6t\), \(c=- 2v\), \(d = 9\). So we multiply 9 with each term inside the parentheses:
\(9\times6t-9\times2v + 9\times9\)

Step2: Calculate each product

Calculate \(9\times6t = 54t\), \(9\times2v=18v\), and \(9\times9 = 81\). Substituting these back in, we get:
\(54t-18v + 81\)

Answer:

\(54t - 18v + 81\)