Question

which expression is equivalent to -3(-4j - 8)?
12j + 24
24j + 12
12j - 8
-4j + 24

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b + c)=ab+ac\) (here \(a=-3\), \(b = - 4j\), \(c=-8\)). So we have \(-3\times(-4j)+(-3)\times(-8)\).

Step2: Calculate each term

First term: \(-3\times(-4j)=12j\) (because multiplying two negative numbers gives a positive number, and \(3\times4 = 12\)). Second term: \(-3\times(-8)=24\) (again, multiplying two negative numbers gives a positive number, and \(3\times8 = 24\)).

Step3: Combine the terms

Combining the two terms we got, we have \(12j + 24\).

Answer:

\(12j + 24\) (corresponding to the first option: \(12j + 24\))