Which of the following is equivalent to −2i(3i + 4i) ?(1 point)

Answer 1

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

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

Now, we substitute this back into the expression:

\[ -2i(7i) \]

Next, we multiply:

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

We know that \(i^2 = -1\), so we can replace \(i^2\) with \(-1\):

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

Thus, the expression \(-2i(3i + 4i)\) simplifies to:

\[ \boxed{14} \]