Q. (70+22i)−(71+70i)=Express your answer in the form (a+bi).
Identify Components: Identify the components of the complex numbers to be subtracted.We have two complex numbers: (70+22i) and (71+70i). We need to subtract the second complex number from the first one.
Subtract Real Parts: Subtract the real parts of the complex numbers.Subtract the real part of the second complex number from the real part of the first complex number: 70−71=−1.
Subtract Imaginary Parts: Subtract the imaginary parts of the complex numbers.Subtract the imaginary part of the second complex number from the imaginary part of the first complex number: 22i−70i=−48i.
Combine Results: Combine the results of the subtraction to form a new complex number.Combine the results from Step 2 and Step 3 to get the final complex number: (−1)+(−48i)=−1−48i.