Choose which step has the error and also choose what the error is (4 - 2i)(1 + 3i) Step 4(1) + 4(3i) + (- 2i)(1) + (- 2i)(3i) Step 4 + 12i + 2i - 6i ^ 2 Step 3 10 + 14i (2 points) Step 1 Step 2 Step 3 -612 should be -6 The 2i should be -2i The 14ishould be 20i

The error is in Step 4.

The expression should be correctly broken down as follows:

From Step 4: \((4)(1) + (4)(3i) + (-2i)(1) + (-2i)(3i)\)

1. \(4(1) = 4\)
2. \(4(3i) = 12i\)
3. \((-2i)(1) = -2i\)
4. \((-2i)(3i) = -6i^2\) (and since \(i^2 = -1\), \(-6i^2\) becomes \(6\))

So the sum should be:

\[ 4 + 12i - 2i + 6 \]

Combining like terms gives:

\[ (4 + 6) + (12i - 2i) = 10 + 10i \]

Thus, the actual results are \(10 + 10i\), not \(10 + 14i\).

The specific error in Step 3 is the calculation of \(-612\) (the correct term should be \(6\)), and there is a mistake in combining the imaginary terms, leading to an error in identifying \(10i\) as \(14i\).

In summary:

• The error is with the imaginary addition and \(i^2\) treatment.
• The correct outcome should be \(10 + 10i\), not \(10 + 14i\).