Question

use the distributive property to remove the parentheses.
(4 - y + 2w)(-8)

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c + d)=ab+ac + ad\). Here, \(a=-8\), \(b = 4\), \(c=-y\), \(d = 2w\). So we distribute \(-8\) to each term inside the parentheses:
\((4 - y+2w)(-8)=4\times(-8)+(-y)\times(-8)+2w\times(-8)\)

Step2: Calculate each product

Calculate each term:
\(4\times(-8)=-32\)
\((-y)\times(-8) = 8y\)
\(2w\times(-8)=-16w\)

Step3: Combine the terms

Combine the calculated terms: \(-32 + 8y-16w\)

Answer:

\(-32 + 8y-16w\)