Answer:
Value of [tex](-7+3i)-(2-6i)= -9 + 9i[/tex]
Step-by-step explanation:
To find the value of the give expression: [tex](-7+3i)-(2-6i)[/tex]
Property of subtraction of complex number states that the subtract [tex]z_1-z_2[/tex] of two complex numbers [tex]z_1 = a+ib[/tex] and [tex]z_2= c+id[/tex] is defined as the complex number i.e
[tex]z_1 -z_2 = (a+ib)-(c+id) =(a-c) +i(b-d)[/tex]
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;
[tex](-7+3i)-(2-6i) = (-7-2) +(3-(-6))i = -9 + (3+6)i = -9+9i[/tex]
Therefore, the value of [tex](-7+3i)-(2-6i)[/tex] is, -9 + 9i.
