Express \( (x+2)^{2} \) as a trinomial in standard form.

To express \( (x+2)^{2} \) as a trinomial in standard form, we start by applying the formula for the square of a binomial, which states that \( (a+b)^{2} = a^{2} + 2ab + b^{2} \). Here, \( a = x \) and \( b = 2 \). Calculating each part: 1. \( a^{2} = x^{2} \) 2. \( 2ab = 2 \cdot x \cdot 2 = 4x \) 3. \( b^{2} = 2^{2} = 4 \) Now, we can combine these components: \[ (x+2)^{2} = x^{2} + 4x + 4 \] Thus, the expression in standard form as a trinomial is: \[ \boxed{x^{2} + 4x + 4} \]