Question

use the distributive property to write an equivalent expression. 8(10x + 10y - 3)

Explanation:

Step1: Apply distributive property

The distributive property is \(a(b + c + d)=ab+ac + ad\). Here, \(a = 8\), \(b=10x\), \(c = 10y\), \(d=- 3\). So we calculate \(8\times10x+8\times10y+8\times(-3)\).

Step2: Simplify each term

\(8\times10x = 80x\), \(8\times10y=80y\), \(8\times(-3)=-24\).

Answer:

\(80x + 80y-24\)