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

Solution:

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

These are complex numbers z\(_1\) and z\(_2\), where \({z_1} = {x_1} + i{y_1}, \quad {z_2} = {x_2} + i{y_2}\).

z\(_1\) = (-7 + 3i) and z\(_2\) = (2 - 6i)

For Subtracting the complex numbers  z\(_1\) - z\(_2\)

⇒ -7 + 3i - 2 + 6i

Add the like terms

⇒ ( -7 -2) + (3i + 6i)

⇒ -9 + 9i

What is the value of (- 7 + 3i) - (2 - 6i)?

Summary:

The value of (- 7 + 3i) - (2 - 6i) is - 9 + 9i.