Question

Find the product and write the result in standard form.
negative 3 i left parenthesis 7 i minus 3 right parenthesis
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Part 1
negative 3 i left parenthesis 7 i minus 3 right parenthesis

Answer 1

To simplify the expression \(-3i(7i - 3)\), we need to distribute \(-3i\) to both terms inside the parentheses.

1. Distribute \(-3i\) to \(7i\):
\[
-3i \cdot 7i = -21i^2
\]

2. Distribute \(-3i\) to \(-3\):
\[
-3i \cdot (-3) = 9i
\]

Now, we can combine these two results:
\[
-21i^2 + 9i
\]

Next, recall that \(i^2 = -1\). Therefore:
\[
-21i^2 = -21(-1) = 21
\]

Now we can substitute that back into our expression:
\[
21 + 9i
\]

We will write the final result in standard form \(a + bi\):
\[
\boxed{21 + 9i}
\]