Respuesta :

TheAnimeGirl

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{9 - i}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{12 - 5i + ( - 3 + 4i)}[/tex]

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expression remains the same. Just remove the parentheses

[tex] \longrightarrow{ \sf{12 - 5i - 3 + 4i}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{ 12 - 3 - 5i + 4i}}[/tex]

Subtract 3 from 12

[tex] \longrightarrow{ \sf{9 - 5i + 4i}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{9 - i}}[/tex]

Hope I helped!

Best regards! :D

The sum of the given complex numbers is (9 - i) and this can be determined by using the arithmetic operations and the given data.

Given :

Complex numbers -- (12 - 5i) and (-3 + 4i)

The following steps can be used in order to determine the sum of the given complex numbers:

Step 1 - The arithmetic operations can be used in order to determine the sum of the given complex numbers.

Step 2 - The mathematical expression of the given situation is:

= (12 - 5i) + (-3 + 4i)

Step 3 - Add 12 and -3 in the above expression.

= 9 - 5i + 4i

Step 4 - Add -5i and 4i in the above expression.

= 9 - i

For more information, refer to the link given below:

https://brainly.com/question/10251853

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