Which of the following is equivalent to −2i(3i + 4i) ?(1 point) Responses 14 14 6−8i 6 minus 8 i −7i negative 7 i −4i negative 4 i

Answer 1

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

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

Now substitute that back into the expression:

\[ -2i(7i) \]

Now multiply:

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

Recall that \(i^2 = -1\), so:

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

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

\[ \boxed{14} \]