Question

Express (x-1)^2 as a trinomial in standard form.

Answer 1

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

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