Question

If u=1+3 i and v=-2-i what is u+v

Answer 1

The answer is 2-i
1+3=4
4-2=2
2-i=2-i

Answer 2

Hello!

The answer is:

$u+v=-1+2i$

Why?

To solve the problem, we just need to consider that the variable "u" and "v" represents different expressions, and then, perform the operation and add the like terms.

We must remember that the like terms are the terms that share the same variable and the same exponent.

We have that:

$u=1+3i\\v=-2-i$

So, calculating we have:

$u+v=(1+3i)+(-2-i)=(1-2)+(3i-i)=-1+2i$

Hence, we have that:

$u+v=-1+2i$

Have a nice day!