Question

Which of the following is equivalent to  −2i(3i + 4i) ?(1 point)Responses6−8i6 minus 8 i1414−4inegative 4 i−7i 

Answer 1

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

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

Now substitute this back into the expression:

\[
-2i(7i)
\]

Next, multiply \(-2i\) by \(7i\):

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

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

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

Thus, the expression simplifies to:

\[
14
\]

So, the equivalent expression is \(14\).