Question

Simplify (x+1+i)(x+1+i)

Answer 1

You can simplify this by just multiplying it out. I like to use FOIL, going to every term and multiplying it with every other term. Let's do this:

`(x+1+i)(x+1+i) = (1+i)(x^2+x+xi) = (i)(x^2+x+xi)`

Next step:

`(i)(x^2+x+xi) = x^2i+xi+xi^2`

We know that: i² = -1 because √-1 × √-1 = -1. So:

`x^2i+xi+x(-1)`

Your final answer:

`x^2i+xi-x`