What is product of the complex numbers 3 - 4i and -6 + i, where i =

Here we just want to find the product of two complex numbers, we will see that the solution is -14 + 27i

Remember that the complex number i has the property:

i^2 = -1

Now we want to perform the multiplication between 3 - 4i and -6 + i

Then we have:

(3 - 4i)*(-6 + i) = -18 + 3i + (4i)*6 - (4i)*i = -18 + 27i + 4 = -14 + 27i

So the correct option is C.

If you want to learn more about complex numbers, you can read:

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Option C:

The product of 3 - 4i and -6 + i is -14 + 27i.

Solution:

Given complex numbers are 3 - 4i and -6 + i.

To find the product of these numbers.

Product of 3 - 4i and -6 + i

Multiply each term of first number with each term of second number.

Since the value of i² = -1

The product of 3 - 4i and -6 + i is -14 + 27i.

Option C is the correct answer.