Question

Simplify (5 + 2i)(1 + 3i). *Mark only one oval.5+6i-1-1+17i11+17i

Answer 1

Step-by-step explanation

We are asked to simplify

`(5+2i)(1+3i)`

To do so, we will make use of the fact that

`i* i=i^2=-1`

So, we will use the FOIL method of expansion

So that

`\begin{gathered} First=5*1=5 \\ Outer=5*3i=15i \\ Inner=2i*1=2i \\ Last=2i*3i=6i^2=-6 \end{gathered}`

Simplifying by adding the terms above, we will have

`5+15i+2i-6=5-6+15i+2i=-1+17i`

Therefore, the answer is