Q. (−33−2i)−(50+9i)=Express your answer in the form (a+bi).
Problem and Preparation: Write down the problem and prepare to subtract the complex numbers.(−33−2i)−(50+9i)We will subtract the real parts and the imaginary parts separately.
Subtracting Real Parts: Subtract the real parts.The real part of the first complex number is −33 and the real part of the second complex number is 50.So, we calculate −33−50.−33−50=−83
Subtracting Imaginary Parts: Subtract the imaginary parts.The imaginary part of the first complex number is −2i and the imaginary part of the second complex number is 9i.So, we calculate −2i−9i.−2i−9i=−11i
Combining Results: Combine the results of the real and imaginary parts.We combine the results from Step 2 and Step 3 to get the final answer.−83−11iThis is the simplified form of the complex number after subtraction.