Respuesta :
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].