Subjects algebra

Complex Subtraction F84633

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Question: Subtract. $(9 + 4i) - (2 + 2i) = \square + \square i$ (Type integers.)
1. The problem is to subtract the complex numbers $(9 + 4i)$ and $(2 + 2i)$. 2. The formula for subtracting complex numbers is: $$ (a + bi) - (c + di) = (a - c) + (b - d)i $$ where $a$, $b$, $c$, and $d$ are integers. 3. Applying the formula: $$ (9 + 4i) - (2 + 2i) = (9 - 2) + (4 - 2)i $$ 4. Simplify the subtraction: $$ 7 + 2i $$ 5. Therefore, the result is $7 + 2i$. This means the real part is $7$ and the imaginary part is $2$.