Question

1. simplify the expression below using the distributive property. 5i(3 - 8i) -40 + 15i 15 + 40i 40 + 15i -15 - 40i

Explanation:

Step1: Apply distributive property

$5i(3 - 8i)=5i\times3-5i\times8i$

Step2: Calculate each term

$5i\times3 = 15i$, and $5i\times8i=40i^{2}$. Since $i^{2}=- 1$, then $40i^{2}=-40$.

Step3: Combine the results

$15i-(-40)=40 + 15i$

Answer:

C. $40 + 15i$