Question

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

Answer 1

The answer to your question is -9 + 9i

Answer 2

Value of
`(-7+3i)-(2-6i)= -9 + 9i`

Explanation:

To find the value of the give expression:
`(-7+3i)-(2-6i)`

Property of subtraction of complex number states that the subtract
`z_1-z_2` of two complex numbers
`z_1 = a+ib` and
`z_2= c+id` is defined as the complex number i.e

`z_1 -z_2 = (a+ib)-(c+id) =(a-c) +i(b-d)`

It is observed that while subtracting two complex numbers the real and imaginary parts of the system is obtained by subtracting the real and imaginary parts of the summands.

Now;

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

Therefore, the value of
`(-7+3i)-(2-6i)` is, -9 + 9i.