Question

Which expression is equal to −2i(4−i)?

A. −2−8i

B. 8−2i

C. 2−8i

D. −8−2i

Answer 1

The correct option is A.

Explanation:

The given expression is

`-2i(4-i)`

We need to find the simplified form of the given expression.

Using distributive property we get

`-2i(4)-2i(-i)`

`-8i+2i^2`

We know that
`i^2=-1`. Using this fact we get

`-8i+2(-1)`

`-8i-2`

Write the above expression as a+ib.

`-2-8i`

Therefore the correct option is A.