Question

Question 2c of 40
Simplify the following expression:
(I-3)+6i-3(8-i)
Choice
21+ 7i
14+6i
-27 + 10i
D.
8+4i

Answer 1

Answer:

C. $-27+10i$

Step-by-step explanation:

The expression is:

$(i+3)+6i-3(8-i)$

Distribute -3 inside the bracket. This gives,

$i+3+6i+(-3\times 8)- (-3\times i)\\ i+3+6i-24-(-3i)\\ i+3+6i-24+3i$

Now, we combine the like terms and simplify. This gives,

$(i+6i+3i)+(-24-3)=10i+(-27)=-27+10i$

Therefore, $(i+3)+6i-3(8-i)$ is equal to $-27+10i$.

Answer 2

Answer:

-27+10i

Step-by-step explanation:

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