QuestionFind the difference and express it as $a + b i$ : $(-18 + 8 i) - (3 + 3 i)$

Studdy Solution

STEP 1

Assumptions1. We are dealing with complex numbers, which are in the form of $a + bi$ , where $a$ and $b$ are real numbers, and $i$ is the imaginary unit with the property $i^ = -1$ . . We are asked to find the difference between two complex numbers $(-18+8i)$ and $(3+3i)$ .

STEP 2

To subtract complex numbers, we subtract the real parts and the imaginary parts separately.
$(a + bi) - (c + di) = (a - c) + (b - d)i$

STEP 3

Now, plug in the given values for the complex numbers to calculate the difference.
$(-18 +8i) - (3 +3i) = (-18 -3) + (8 -3)i$

STEP 4

Perform the subtraction for the real parts and the imaginary parts separately.
$(-18 -3) + (8 -3)i = -21 +i$ So, the difference between the two complex numbers $(-18+8i)$ and $(3+3i)$ is $-21 +i$ .

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