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

Question

asked Apr 10, 2024 40.3k views

1 Answer

Chance Smith · Answer 1 · 2024-04-15T08:27:32+0000

Answer:
10+11i

Step-by-step explanation:

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

Lets start by multiplying the outer term :

3*4=

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
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!