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(12)-(23+13 i)=
Express your answer in the form 
(a+bi).

(12)(23+13i)= (12)-(23+13 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .

Full solution

Q. (12)(23+13i)= (12)-(23+13 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 involved.\newlineThe first complex number is 1212, which can be written as (12+0i)(12 + 0i) where 1212 is the real part and 00 is the imaginary part.\newlineThe second complex number is (23+13i)(23 + 13i) where 2323 is the real part and 13i13i is the 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: 1223=1112 - 23 = -11.\newlineSubtract the imaginary part of the second complex number from the imaginary part of the first complex number: 0i13i=13i0i - 13i = -13i.
  3. Combine results in (a+bi)(a + bi) form: Combine the results of the subtraction to express the answer in the form (a+bi)(a + bi).\newlineThe result of the subtraction is (11)+(13i)(-11) + (-13i), which can be written as (1113i)(-11 - 13i).

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