Question

find the product of the binomials using the appropriate special product (difference of two squares, square of a binomial sum, or square of a binomial difference).

\\(x + 8)(x + 8)\\

Explanation:

Identify the appropriate special product

Using the Special Products knowledge point

$$ (x+8)(x+8) = (x+8)^2 $$

This matches the square of a binomial sum form.

Apply the binomial square formula

Using the Square of a Binomial Sum knowledge point

$$ (a+b)^2 = a^2 + 2ab + b^2 $$

Substitute \(a = x\) and \(b = 8\):

$$ (x+8)^2 = x^2 + 2(x)(8) + 8^2 $$

Simplify the terms

Using the Square of a Binomial Sum knowledge point

$$ x^2 + 16x + 64 $$

Answer:

\(x^2 + 16x + 64\)