Add or subtract. Write the answer in standard form (6 + 3i) + (2 − 5i).

Identify the real and imaginary parts of each complex number:

For 6 + 3i:
Real part: 6
Imaginary part: 3i

For 2 - 5i:
Real part: 2
Imaginary part: −5i

Add the real parts together:

6 + 2 = 8

Add the imaginary parts together:

3i - 5i = -2i

Combine the results from steps 2 and 3 to write the final answer in standard form:

8 - 2i

So, the answer in standard form is 8 - 2i.

This option matches the correct solution we obtained above

(8 - 2i)

This is incorrect. It appears to add the real parts incorrectly (6 + 3 + 2 + -5 = 18) and combines the imaginary parts incorrectly

(18 - i)

This option is incorrect because it does not correctly add the real or imaginary parts

(4 - i)

This is incorrect. It appears to combine the real parts incorrectly (6 - 2 = 4) instead of adding them properly

(4 - 2i)

Option

A

Can you summarize what you’ve understood in the above steps?