Question

use the distributive property to simplify the following expression.
(6 + n) × (-2)

a -12 - n

b -12 - 2n

c -12 + n

d -12 + 2n

Explanation:

Step1: Recall distributive property

The distributive property is \(a\times(b + c)=a\times b+a\times c\). Here, \(a = - 2\), \(b = 6\) and \(c=n\).

Step2: Apply distributive property

\((6 + n)\times(-2)=6\times(-2)+n\times(-2)\)

Step3: Calculate each term

\(6\times(-2)=-12\) and \(n\times(-2)=-2n\)

Step4: Combine the terms

So, \((6 + n)\times(-2)=-12-2n\)

Answer:

b. \(-12 - 2n\)