Question

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add & subtract complex numbers
$(-30i)+(52 - 30i)=\square$
express your answer in the form $(a + bi)$.
related content
adding complex numbers
subtracting complex numbers

Explanation:

Step1: Identify real and imaginary parts

The complex numbers are \(-30i\) (which can be written as \(0 - 30i\)) and \(52 - 30i\). We add the real parts and the imaginary parts separately.
Real part of first number: \(0\), real part of second number: \(52\).
Imaginary part of first number: \(-30i\), imaginary part of second number: \(-30i\).

Step2: Add real parts

Adding the real parts: \(0 + 52 = 52\).

Step3: Add imaginary parts

Adding the imaginary parts: \(-30i + (-30i) = -60i\).

Step4: Combine real and imaginary parts

Combine the results from Step 2 and Step 3 to get the complex number in the form \(a + bi\): \(52 - 60i\).

Answer:

\(52 - 60i\)