Question

Simplify (10 + 3i)(5 – 2i) ...?

Answer 1

(10+3i)(5-2i)
30i=50-20i
50i=50
i=1

maybe

Answer 2

`56-5i`

Explanation:

Given are two complex numbers

10+3i and 5-2i

We are to find its product

Let us use foil method to multiply these two binomials.

`(10+3i)(5-2i)\\=50+15i-20i-6i^2\\`

Use the fact that i square =-1

We get product

=
`50-5i+6\\=56-5i`