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

Answer 1

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 \(14\).