Final answer:
To express (x - 5)² as a trinomial in standard form, expand the squared term by multiplying the expression (x - 5) by itself using the FOIL method. Simplify the resulting expression to get the trinomial in standard form.
Step-by-step explanation:
To express (x - 5)² as a trinomial in standard form, we need to expand the squared term. This can be done by multiplying the expression (x - 5) by itself:
(x - 5)² = (x - 5)(x - 5)
Using the FOIL method, we can multiply the terms:
(x - 5)(x - 5) = x * x - 5 * x - 5 * x + 5 * 5
Simplifying further:
= x² - 10x + 25
Therefore, the trinomial in standard form for (x - 5)² is a. x² - 10x + 25.