Answer :

Answer

[tex]16-12i[/tex]

EXPLANATION

Problem Statement

We are asked to solve the following expression:

[tex](4-3i)+(12-9i)[/tex]

Solution

- To solve this question, we simply treat "i" like any variable of the expression and simplify the expression.

- Simplifying the expression involves:

i. Remove the brackets

ii. Collect like terms.

iii. Simplify further

- Let us solve the question as follows:

[tex]\begin{gathered} (4-3i)+(12-9i) \\ =4-3i+12-9i \\ \text{Collect like terms} \\ =4+12-3i-9i \\ \text{Simplify further} \\ =16-12i \end{gathered}[/tex]

Final Answer

[tex]16-12i[/tex]

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