Question

Express (x - 8) ^ 2 as a trinomial in standard form.

Answer

Answer 1

To express \((x - 8)^2\) as a trinomial in standard form, we need to expand the expression.

Using the formula for the square of a binomial, \((a - b)^2 = a^2 - 2ab + b^2\):

1. Here, \(a = x\) and \(b = 8\).
2. Calculate \(a^2\):
\[
x^2
\]
3. Calculate \(-2ab\):
\[
-2(x)(8) = -16x
\]
4. Calculate \(b^2\):
\[
8^2 = 64
\]

Now combine all the parts together:
\[
(x - 8)^2 = x^2 - 16x + 64
\]

Therefore, the trinomial in standard form is:
\[
\boxed{x^2 - 16x + 64}
\]