Question

If u = 3 – 4i and v = 3i + 6, what is u – v.?

Answer 1

Answer:

$u-v=-3-7i$

Step-by-step explanation:

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

Let us subtract value of v from u as:

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

First of all, we remove parenthesis as:

$u-v=3-4i-3i-6$

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

$u-v=3-6-4i-3i$

$u-v=-3-7i$

Therefore, the value of  $u-v$ is $-3-7i$.

Answer 2

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