Question

Multiply and simplify. (1 − 5i)(1 − 2i) A) 1 + 7i B) 9 − 7i C) 1 − 7i D) − 9 − 7i

Answer 1

The product renders:
`-9-7\,i`

Explanation:

Recall that the product of the imaginary unit i by itself renders -1

Now proceed with the product of the two complex numbers using distributive property:

`(1-5\,i)\,(1-2\,i)=1-2\,i-5\,i+10\,i^2=1-7\,i-10=-9-7\,i`