simplify (6-4i)(3+8i
Solution
Sure, let's simplify the expression step by step:
Step 1: Distribute each term in the first complex number (6-4i) to each term in the second complex number (3+8i).
This gives us:
(6 * 3) + (6 * 8i) - (4i * 3) - (4i * 8i)
Step 2: Simplify each term:
18 + 48i - 12i - 32
Step 3: Combine like terms:
18 - 32 + (48i - 12i)
Step 4: Simplify to get the final answer:
-14 + 36i
So, (6-4i)(3+8i) simplifies to -14 + 36i.
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