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

Identify complex numbers: Identify the real and imaginary parts of the complex numbers involved. The first complex number is 12, which can be written as (12 + 0i) where 12 is the real part and 0 is the imaginary part. The second complex number is (23 + 13i) where 23 is the real part and 13i is the imaginary part.Subtract real and imaginary parts: Subtract the real parts and the imaginary parts separately. Subtract the real part of the second complex number from the real part of the first complex number: 12 - 23 = -11. Subtract the imaginary part of the second complex number from the imaginary part of the first complex number: 0i - 13i = -13i.Combine results in (a + bi) form: Combine the results of the subtraction to express the answer in the form (a + bi). The result of the subtraction is (-11) + (-13i), which can be written as (-11 - 13i).

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Math Problems

Algebra 2

Composition of linear functions: find an equation

Full solution

(12)-(23+13 i)=

\newline

Express your answer in the form

(a+b i)

Identify complex numbers: Identify the real and imaginary parts of the complex numbers involved. $\newline$ The first complex number is $12$ , which can be written as $(12 + 0i)$ where $12$ is the real part and $0$ is the imaginary part. $\newline$ The second complex number is $(23 + 13i)$ where $23$ is the real part and $13i$ is the imaginary part.
Subtract real and imaginary parts: Subtract the real parts and the imaginary parts separately. $\newline$ Subtract the real part of the second complex number from the real part of the first complex number: $12 - 23 = -11$ . $\newline$ Subtract the imaginary part of the second complex number from the imaginary part of the first complex number: $0i - 13i = -13i$ .
Combine results in $(a + bi)$ form: Combine the results of the subtraction to express the answer in the form $(a + bi)$ . $\newline$ The result of the subtraction is $(-11) + (-13i)$ , which can be written as $(-11 - 13i)$ .