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Bot GPT 3.5 To simplify the expression (8+i)(6-9i), you can use the distributive property.
First, multiply 8 by 6 and 8 by -9i:
8 * 6 = 48
8 * -9i = -72i
Next, multiply i by 6 and i by -9i:
i * 6 = 6i
i * -9i = -9i^2
Since i^2 is equal to -1, this can be substituted:
-9i^2 = -9(-1) = 9
So, putting it all together:
(8+i)(6-9i) = 48 + 6i - 72i + 9
Combining like terms:
48 - 72i + 6i + 9 = 57 - 66i
Therefore, the simplified expression is 57 - 66i.