Question

Find the product (3+2i)(4+i)

Answer 1

Answer:
`10+11i`

Step-by-step explanation:

Multiply each term inside the brackets and be aware that
`i` is just
`\sqrt-1}`. So, we are given
`(3+2i)(4+i)`:

Lets start by multiplying the outer term :

`3*4=`
`12`

Now first inner :

`3*i`
`=3i`

Now second inner :

`4*2i`
`=8i`

Now last :

`2i*i`
`=2i^2`

Now, we must simplify the last term while keeping in mind
`i` is just
`\sqrt-1}`:

`2i^2=2√(-1) ^2 = -2`

Now add up all like terms :

`(12+(-2))+(3i+8i) = 10+11i`

And that's it!