Question

use the distributive property to write an equivalent expression.
5(2f + 4g - 5)

Explanation:

Step1: Recall distributive property

The distributive property is \(a(b + c + d)=ab + ac + ad\). Here, \(a = 5\), \(b=2f\), \(c = 4g\), \(d=- 5\).

Step2: Apply distributive property

Multiply 5 with each term inside the parentheses:
\(5\times2f+5\times4g - 5\times5\)

Step3: Simplify each product

\(5\times2f = 10f\), \(5\times4g=20g\), \(5\times5 = 25\). So the expression becomes \(10f + 20g-25\).

Answer:

\(10f + 20g - 25\)