Express left parenthesis, x, plus, 12, right parenthesis, squared(x+12) 
2
  as a trinomial in standard form.'

To express \((x + 12)^2\) as a trinomial in standard form, we can expand it using the formula for the square of a binomial:

\[
(a + b)^2 = a^2 + 2ab + b^2
\]

Here, \(a = x\) and \(b = 12\). Applying the formula:

\[
(x + 12)^2 = x^2 + 2(x)(12) + 12^2
\]

Now, simplify each term:

\[
x^2 + 24x + 144
\]

Thus, \((x + 12)^2\) in standard trinomial form is:

\[
x^2 + 24x + 144
\]

### Would you like further details or have any questions?

Here are 5 related questions:
1. How do you expand other binomials like \((x - 7)^2\)?
2. What is the difference between a binomial and a trinomial?
3. How can you factor the trinomial \(x^2 + 24x + 144\)?
4. What is the vertex form of a quadratic equation?
5. Can you expand \((x + a)^2\) for any value of \(a\)?

**Tip**: Always remember the binomial square rule for quick expansion: \( (a + b)^2 = a^2 + 2ab + b^2 \).

Express (x + 12)^2 as a trinomial in standard form.

Learn how to expand and simplify the binomial expression (x + 12)^2 into a trinomial in standard form. This problem covers essential algebraic concepts and the binomial expansion formula, ideal for students in Grades 8-10.

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