Question Express \( (x+10)^{2} \) as a trinomial in standard form.

To expand \( (x + 10)^2 \), you use the formula \( (a + b)^2 = a^2 + 2ab + b^2 \). Here, \( a = x \) and \( b = 10 \). So, you calculate: 1. \( a^2 = x^2 \) 2. \( 2ab = 2 \cdot x \cdot 10 = 20x \) 3. \( b^2 = 10^2 = 100 \) Combining these, you get: \[ (x + 10)^2 = x^2 + 20x + 100 \] So, the trinomial in standard form is \( x^2 + 20x + 100 \). Now, let’s have a little fun! Expanding binomials like this is much like baking a cake. You start with your ingredients (in this case, \( x \) and \( 10 \)), mix them up following a recipe (the expansion formula), and voilà! You have a deliciously structured trinomial just waiting to satisfy your mathematical appetite! And if you ever get confused while expanding, just remember: mistakes often happen when you rush. Take your time, double-check each part of your calculation, and soon enough, you’ll be expanding binomials with the ease of a seasoned chef!