Question

Simplify the given expression below:

Answer 1

The answer will be C. OR 3. 11−13i

Answer 2

Answer:

The correct option is 3.

Step-by-step 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.