Question

qa 2. which expression is equivalent to $2i(5 + 3i)$?
options:

• $-10 + 6i$
• $-6 + 10i$
• $6 + 10i$
• $10 + 6i$

clear all

Explanation:

Step1: Apply Distributive Property

Multiply \(2i\) with each term inside the parentheses: \(2i\times5 + 2i\times3i\)
Which simplifies to \(10i + 6i^2\)

Step2: Substitute \(i^2 = -1\)

Since \(i^2=-1\), substitute this into the expression: \(10i + 6\times(-1)\)
Simplify to get \(-6 + 10i\)

Answer:

\(-6 + 10i\) (corresponding to the option with this expression)