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(80 i)-(80+10 i)=
Express your answer in the form 
(a+bi).

(80i)(80+10i)= (80 i)-(80+10 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .

Full solution

Q. (80i)(80+10i)= (80 i)-(80+10 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
  1. Identify Complex Numbers: Identify the real and imaginary parts of the complex numbers.\newlineThe first complex number is 80i80i, which has 00 as its real part and 8080 as its imaginary part.\newlineThe second complex number is 80+10i80 + 10i, which has 8080 as its real part and 1010 as its imaginary part.
  2. Subtract Real and Imaginary Parts: Subtract the real parts and the imaginary parts separately.\newlineSubtract the real part of the second complex number from the real part of the first complex number (which is 00), and subtract the imaginary part of the second complex number from the imaginary part of the first complex number.\newlineReal parts: 080=800 - 80 = -80\newlineImaginary parts: 80i10i=70i80i - 10i = 70i
  3. Combine Results: Combine the results to express the answer in the form a+bia + bi.\newlineCombine the real part and the imaginary part obtained from Step 22.\newline80+70i-80 + 70i

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