Answer
$x^2 - 2x + 1$
Work Step by Step
We expand the polynomial first so that we can work with it more easily:
$(x - 1)(x - 1)$
Let us use the FOIL method to expand the polynomial.
First, we multiply the first terms; then, we multiply the outer terms; then, we multiply the inner terms; finally, we multiply the last terms:
$(x)(x) - (1)(x) - (1)(x) - (-1)$
Simplify the terms:
$x^2 - x - x + 1$
Combine like terms:
$x^2 - 2x + 1$
This is the standard form of this polynomial.