Q. (10−22i)+(22i)=Express your answer in the form (a+bi).
Identify complex numbers: Identify the real and imaginary parts of the complex numbers.The real part of the first complex number is 10, and the imaginary part is −22i. The second complex number has no real part and an imaginary part of 22i.
Add real parts: Add the real parts together.Since the second complex number has no real part, the real part of the sum is just the real part of the first complex number, which is 10.
Add imaginary parts: Add the imaginary parts together.The imaginary parts are −22i and 22i. When we add them together, they cancel each other out because −22i+22i equals 0i.
Combine real and imaginary parts: Combine the sum of the real parts and the sum of the imaginary parts.The sum of the real parts is 10, and the sum of the imaginary parts is 0i. Therefore, the sum of the two complex numbers is 10+0i.
Express answer in (a+bi) form: Express the answer in the form (a+bi).Since the imaginary part is 0, the expression simplifies to just the real part, which is 10. So the answer in the form (a+bi) is 10+0i, which can be written simply as 10.
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