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).

\\((6x + 8)(6x - 8)\\)

Explanation:

Identify the special product pattern

Using the Special Products and Difference of Squares knowledge points

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

Match terms to the formula

Using the Difference of Squares knowledge point

$$
LATEXBLOCK0
$$

Apply the difference of squares formula

Using the Difference of Squares knowledge point

$$ (6x+8)(6x-8) = (6x)^2 - (8)^2 $$

Simplify the terms

Using the Difference of Squares knowledge point

$$
LATEXBLOCK1
$$

Answer:

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).

$$(6x + 8)(6x - 8) =$$

<blank>\(36x^2 - 64\)</blank>