Question

Simplify the given expression below:

(7 − 3i) • (2 − i)

4 + i
14 + 3i
11 − 13i
14 − 10i

Answer 1

The answer will be C. OR 3. 11−13i

Answer 2

The correct option is 3.

Explanation:

The given expression is

`(7-3i)\cdot(2-i)`

We need to find the simplified form of given expression.

Using distributive property, the given expression can be written as

`7\cdot(2-i)-3i\cdot(2-i)`

`7(2)+7(-i)-3i(2)-3i(-i)`

On further simplification we get

`14-7i-6i+3i^2`

`14-13i+3(-1)`
`[\because i^2=-1]`

`14-13i-3`

On combining like terms we get

`(14-3)-13i`

`11-13i`

The simplified form of given expression is 11-13i. Therefore the correct option is 3.