Respuesta :

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:  The correct option is

(A) -9 + 9i.

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

[tex]E=(-7+3i)-(2-6i)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following property of complex numbers :

[tex](a+bi)-(c+di)=(a-c)+(b-d)i.[/tex]

Therefore, from expression (i), we get

[tex]E\\\\=(-7+3i)-(2-6i)\\\\=(-7-2)+(3-(-6))i\\\\=-9+(3+6)i\\\\=-9+9i.[/tex]

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

Option (A) is CORRECT.