Question

(70 + 22i) - (71 + 70i) =
express your answer in the form (a + bi).

Explanation:

Step1: Distribute the negative sign

We have \((70 + 22i) - (71 + 70i)=70 + 22i - 71 - 70i\)

Step2: Combine the real parts and the imaginary parts separately

For the real parts: \(70-71=-1\)
For the imaginary parts: \(22i - 70i=(22 - 70)i=-48i\)

Step3: Combine the results

Putting the real and imaginary parts together, we get \(-1-48i\)

Answer:

\(-1 - 48i\)