Question

What is the value of (–7 + 3i) – (2 – 6i)?
–9 + 9i
–9 – 3i
–5 – 3i
–5 + 9i

Answer 1

Hello!

In this case we will combine our like terms to find our answer.

(-7-2)+(3i-6i)
-9-3i

I hope this helps!

Answer 2

Answer: The correct option is

(A) -9 + 9i.

Step-by-step explanation: We are given to find the value of the following expression :

`E=(-7+3i)-(2-6i)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following property of complex numbers :

`(a+bi)-(c+di)=(a-c)+(b-d)i.`

Therefore, from expression (i), we get

`E\\\\=(-7+3i)-(2-6i)\\\\=(-7-2)+(3-(-6))i\\\\=-9+(3+6)i\\\\=-9+9i.`

Thus, the required value of the given expression is -9 + 9i.

Option (A) is CORRECT.