Question

How do you simplify `(1- i ) - ( 3- 1) ( 3+ 1)`?

Answer 1

`(1-i)-(3-1)(3+1)=-7`

Explanation:

The P in PEMDAS stands for parentheses, so do what you can in parentheses first:
You can't simplify `(1-i)` since `i` isn't a real number.
`3-1=2`, and `3+1=4`, so we can rewrite the expression:
`(1-i)-(3-1)(3+1)=(1-i)-(2)(4)`
Multiplication and Division come before addition and subtraction in the order of operations, so multiply `2*4=8`.
Now the expression is `(1-i)-8`. Again, we can't combine that `i` with a real number, but we know that `1-8=-7`. So our final result is
`(1-i)-8=1-i-8=-7-i`