Find the product. Write your answer in standard form. (x+6)2

Sure, let's find the product step by step.

Given expression: $(x + 6)^2$

Step 1: Expand the expression using the formula for the square of a binomial: $(a + b)^2 = a^2 + 2ab + b^2$

Here, $a = x$ and $b = 6$.

Step 2: Substitute $a$ and $b$ into the formula: $(x + 6)^2 = x^2 + 2(x)(6) + 6^2$

Step 3: Simplify each term: $x^2 + 2 \cdot x \cdot 6 + 6^2 = x^2 + 12x + 36$

So, the product in standard form is: $x^2 + 12x + 36$