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

Answer 1

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

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

In this case, let \(a = x\) and \(b = 12\).

Now, applying the formula:

1. \(a^2 = x^2\)
2. \(2ab = 2 \cdot x \cdot 12 = 24x\)
3. \(b^2 = 12^2 = 144\)

Now, we can combine these results:

\[ (x + 12)^2 = x^2 + 24x + 144 \]

So, the expression \((x + 12)^2\) in standard form as a trinomial is:

\[ \boxed{x^2 + 24x + 144} \]