Question

How do you simplify `(30-i)-(18+6i)+30i` and write the complex number in standard form?

Answer 1

`12+23i`

Explanation:

`(30-i)-(18+6i)+30i`

expand brackets:

`30-i-18-6i+30i`

collect like terms:

`30-i-18-6i+30i=12+23i`

standard form: `a+bi`
hence, `12+23i` is in standard form.