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

-27+10i

Explanation:

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Answer 2

C.
`-27+10i`

Explanation:

The expression is:

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

Distribute -3 inside the bracket. This gives,

`i+3+6i+(-3* 8)- (-3* 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`.