Answer:
x² - 2x + 1
Step-by-step explanation:
We want to express (x - 1)² as a trinomial. In other words, we want to expand this out.
(x - 1)² = (x - 1)(x - 1)
We use FOIL (First, Outer, Inner, Last). The First terms are x and x. Multiply:
x * x = x²
The outer terms are x and -1. Multiply:
x * (-1) = -x
The inner terms are -1 and x; multiply:
(-1) * x = -x
The last terms are -1 and -1; multiply:
(-1) * (-1) = 1
Add all these together:
x² + (-x) + (-x) + 1 = x² - 2x + 1
<em>~ an aesthetics lover</em>
