Express (x-1)^2 as a trinomial in standard form
To expand the expression (x-1)^2, we can use the formula for squaring a binomial:
(a-b)^2 = a^2 - 2ab + b^2
In this case, a = x and b = 1. Applying the formula, we have:
(x-1)^2 = x^2 - 2(x)(1) + 1^2
Simplifying, we get:
(x-1)^2 = x^2 - 2x + 1