Algebra division, only need an answer and no explanation

Question

3-i

----

2+i

Answer 1

 

    3 - i

   -------

    2 + i

 

Multiply the numerator and denominator by the congugate

 

    (3 + i)(2 - i)

= ------------------

    (2 + i)(2 - i)

 

Multiply using FOIL

 

    6 - 3i + 2i - i²

= -------------------

    4 - 2i + 2i -(-1)

 

    6 - i + 1

= -------------

    4 + 1

 

    7 - i

= --------

       5