Question
Write each expression in the form $a+b i,$ where $a$ and $b$ are real numbers.$$(2-3 i)(3+4 i)$$
Step 1
Using the FOIL method, we get: \[(2-3i)(3+4i) = 2 \cdot 3 + 2 \cdot 4i - 3i \cdot 3 - 3i \cdot 4i\] This simplifies to: \[6 + 8i - 9i - 12i^2\] Show more…
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