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question express ((x - 12)^2) as a trinomial in standard form.

Question

question
express ((x - 12)^2) as a trinomial in standard form.

Explanation:

Step1: Recall the formula for squaring a binomial

The formula for \((a - b)^2\) is \(a^2 - 2ab + b^2\). In the expression \((x - 12)^2\), we have \(a = x\) and \(b = 12\).

Step2: Apply the formula

Substitute \(a = x\) and \(b = 12\) into the formula:
\[

$$\begin{align*} (x - 12)^2&=x^2-2\times x\times12 + 12^2\\ &=x^2-24x + 144 \end{align*}$$

\]

Answer:

\(x^2 - 24x + 144\)