Work Shown:
(-45-22i)+2(5-3i)(5+3i)
(-45-22i)+2(5^2-(3i)^2)
(-45-22i)+2(25-9i^2)
(-45-22i)+2(25-9(-1))
(-45-22i)+2(25+9)
(-45-22i)+2(34)
-45-22i+68
(-45+68)-22i
23-22i
In the second step, I used the difference of squares rule. Keep in mind that i^2 = -1 since i = sqrt(-1).
