Answer:
The correct option is 3.
Step-by-step explanation:
The given expression is
[tex](7-3i)\cdot(2-i)[/tex]
We need to find the simplified form of given expression.
Using distributive property, the given expression can be written as
[tex]7\cdot(2-i)-3i\cdot(2-i)[/tex]
[tex]7(2)+7(-i)-3i(2)-3i(-i)[/tex]
On further simplification we get
[tex]14-7i-6i+3i^2[/tex]
[tex]14-13i+3(-1)[/tex] [tex][\because i^2=-1][/tex]
[tex]14-13i-3[/tex]
On combining like terms we get
[tex](14-3)-13i[/tex]
[tex]11-13i[/tex]
The simplified form of given expression is 11-13i. Therefore the correct option is 3.
