Respuesta :

u - v = (3 - 4i) - (3i + 6) = 3 - 4i - 3i - 6 = -3 - 7i

Answer:

[tex]u-v=-3-7i[/tex]

Step-by-step explanation:

We have been given two equations [tex]u=3-4i[/tex] and [tex]v=3i+6[/tex]. We are asked to find the value of [tex]u-v[/tex].

Let us subtract value of v from u as:

[tex]u-v=3-4i-(3i+6)[/tex]

First of all, we remove parenthesis as:

[tex]u-v=3-4i-3i-6[/tex]

Now, we will combine the real part of equation with real part and imaginary part with imaginary part as:

[tex]u-v=3-6-4i-3i[/tex]

[tex]u-v=-3-7i[/tex]

Therefore, the value of  [tex]u-v[/tex] is [tex]-3-7i[/tex].