Question

What is the sum of

−
1
+
4
i
−1+4i​ and
2
−
8
i
2−8i​? Enter your answer as a simplified complex number in the form
a
+
b
i
a+bi​.

Answer 1

Answer: To find the sum of two complex numbers, we add their real parts and their imaginary parts separately.

For the first complex number, -1 + 4i, the real part is -1 and the imaginary part is 4.

For the second complex number, 2 - 8i, the real part is 2 and the imaginary part is -8.

Adding the real parts, we get: -1 + 2 = 1.

Adding the imaginary parts, we get: 4 - 8 = -4.

Therefore, the sum of the two complex numbers is 1 - 4i.

So the answer is 1 - 4i.

Explanation: