Question

add.

$(-5 - 2i) + (3 + 5i)$

write your answer as a complex number in standard form.

Explanation:

Step1: Combine real parts

The real parts of the complex numbers are $-5$ and $3$. We add them together: $-5 + 3 = -2$.

Step2: Combine imaginary parts

The imaginary parts are $-2i$ and $5i$. We add them: $-2i + 5i = 3i$.

Step3: Form the standard complex number

A complex number in standard form is $a + bi$, where $a$ is the real part and $b$ is the coefficient of the imaginary part. Combining the results from Step 1 and Step 2, we get $-2 + 3i$.

Answer:

$-2 + 3i$