Question

use the distributive property to write an equivalent expression.
10(10x + 7y - 6)

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c + d)=ab+ac + ad\). Here, \(a = 10\), \(b=10x\), \(c = 7y\), \(d=- 6\). So we multiply 10 with each term inside the parentheses:
\(10\times10x+10\times7y+10\times(-6)\)

Step2: Simplify each term

Calculate each product:
\(10\times10x = 100x\), \(10\times7y=70y\), \(10\times(-6)=-60\)
Combine the terms: \(100x + 70y-60\)

Answer:

\(100x + 70y - 60\)