How do you simplify (5 - 7i) (2 - 5i)?

1 Answer
May 29, 2016

-25-39i

Explanation:

We need to multiply each term in the first set of parentheses by each term in the second set of parentheses. We can write this as follows:

5(2-5i)-7i(2-5i)

Now we distribute the 5 and -7i. This will give us:

10 - 25i-14i+35i^2

Combine like terms and remember that i^2=-1 This will give us:

10-39i+35(-1)
10-39i-35
-25-39i