Question

Plz help me with this

Answer 1

Answer:
`\bold{c)\quad (11+7i)/(5)}`

Explanation:

`(3+i)/(2-i)\cdot(4+i)/(2+i)\\\\\\\text{Multiply using any method:}\\=(12+7i+i^2)/(4+2i-2i-i^2)\\\\\\\text{Add like terms and replace }i^2\ \text{with -1}\\=(12+7i+(-1))/(4-(-1))\\\\\\=\large\boxed{(11+7i)/(5)}`