Question

use the distribute property to create an equivalent expression using the fewest number of terms. (6x + 3)·-8 options: -48x + -24, -48x - 3, 14x + 3, 48x + 3

Explanation:

Step1: Apply distributive property

The distributive property is \(a(b + c)=ab+ac\). Here, \(a = - 8\), \(b = 6x\) and \(c = 3\). So we have \((6x + 3)\times(-8)=6x\times(-8)+3\times(-8)\)

Step2: Calculate each term

Calculate \(6x\times(-8)=- 48x\) and \(3\times(-8)=-24\). Then combine them: \(-48x-24\) (note that \(+(-24)\) is the same as \(-24\))

Answer:

\(-48x - 24\) (the option with \(-48x+-24\) as \(+(-24)\) is equivalent to \(-24\))