(12-9i)+(32-6i)= Express your answer in the form (a+bi).

Identify parts of complex numbers: Identify the real and imaginary parts of each complex number. The real part of the first complex number (12-9i) is 12, and the imaginary part is -9i. The real part of the second complex number (32-6i) is 32, and the imaginary part is -6i.Add real parts: Add the real parts together. Add the real parts of the complex numbers: 12 (from the first complex number) and 32 (from the second complex number). Calculation: 12 + 32 = 44Add imaginary parts: Add the imaginary parts together. Add the imaginary parts of the complex numbers: -9i (from the first complex number) and -6i (from the second complex number). Calculation: -9i + -6i = -15iCombine sums to form complex number: Combine the sums of the real and imaginary parts to form a single complex number. Combine the sum of the real parts (44) with the sum of the imaginary parts (-15i) to form the complex number 44 - 15i.

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(12-9i)+(32-6i)=
Express your answer in the form
(a+bi).

$(12-9 i)+(32-6 i)=$ $\newline$ Express your answer in the form $(a+b i)$ .

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Math Problems

Algebra 1

Evaluate rational expressions

Full solution

(12-9 i)+(32-6 i)=

\newline

Express your answer in the form

(a+b i)

Identify parts of complex numbers: Identify the real and imaginary parts of each complex number. $\newline$ The real part of the first complex number $(12-9i)$ is $12$ , and the imaginary part is $-9i$ . $\newline$ The real part of the second complex number $(32-6i)$ is $32$ , and the imaginary part is $-6i$ .
Add real parts: Add the real parts together. $\newline$ Add the real parts of the complex numbers: $12$ (from the first complex number) and $32$ (from the second complex number). $\newline$ Calculation: $12 + 32 = 44$
Add imaginary parts: Add the imaginary parts together. $\newline$ Add the imaginary parts of the complex numbers: $-9i$ (from the first complex number) and $-6i$ (from the second complex number). $\newline$ Calculation: $-9i + -6i = -15i$
Combine sums to form complex number: Combine the sums of the real and imaginary parts to form a single complex number. $\newline$ Combine the sum of the real parts $44$ with the sum of the imaginary parts $-15i$ to form the complex number $44 - 15i$ .