Question

question
express ((x - 2)^2) as a trinomial in standard form.

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). Here, \(a = x\) and \(b = 2\).

Step2: Substitute the values into the formula

Substituting \(a = x\) and \(b = 2\) into the formula, we get:
\(x^2 - 2\times x\times2 + 2^2\)

Step3: Simplify the expression

Simplify each term:
\(x^2 - 4x + 4\)

Answer:

\(x^2 - 4x + 4\)