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).

\\(5x - 2)(5x + 2)\\

Explanation:

Identify the special product pattern

Using the Difference of Squares and Special Products 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

$$ (5x - 2)(5x + 2) = (5x)^2 - (2)^2 $$

Simplify the squared 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).

$$(5x - 2)(5x + 2) =$$

<blank>\(25x^2 - 4\)</blank>