Question

Simplify the given expression below:

(−5 + 3i) • (1 − 2i)

A.) −5 − 6i
B.) 1 + 13i
C.) 2 + i
D.) 4 − 5i

Answer 1

The answer is the option B

`1+13i`

Explanation:

we have

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

Multiply applying distributive property

`(-5 + 3i)*(1 - 2i)=-5*1+5*2i+3i*1-3i*2i`

`=-5+10i+3i-6i^(2) \\=-5+13i-6(-1) \\=-5+13i+6 \\=1+13i`