Respuesta :

The correct answer is 1 + 3i.

In order to get the answer to this, only add like terms. Add first the constants in the front.

3 + -2 = 1

Now add the imaginary terms

-5i + 8i = 3i

Then you can put the two together as a term and write as 1 + 3i.

The Sum of real parts is 1 and  the sum of imaginary parts is 3i

The standard form of a complex number is expressed as z = x + iy where;

  • x is the real part
  • y is the imaginary part since it is attached to the imaginary axis

Given the expression (3 - 5i) + (-2 + 8i).

Collect the like terms into real and imaginary parts

= (3 - 5i) + (-2 + 8i)

= 3 - 5i - 2 + 8i

= 3 - 2 - 5i + 8i

= 1 + 3i

From the result, we can see that the Sum of real parts is 1 and  the sum of imaginary parts is 3i

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