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:
$x^2i+xi-x$