Which of the following is equivalent to −2i(3i + 4i)?(1 point)%0D%0AResponses%0D%0A%0D%0A−7i %0D%0Anegative 7 i%0D%0A%0D%0A6−8i%0D%0A6 minus 8 i%0D%0A%0D%0A14%0D%0A14%0D%0A%0D%0A−4i

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To simplify the expression \(-2i(3i + 4i)\), we first combine the terms inside the parentheses:

\[
3i + 4i = 7i
\]

Now, we can rewrite the expression as:

\[
-2i(7i)
\]

Next, we multiply:

\[
-2i \cdot 7i = -14i^2
\]

Since \(i^2 = -1\), we can substitute:

\[
-14i^2 = -14(-1) = 14
\]

So, the expression simplifies to:

\[
14
\]

The correct answer is \(14\).