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find the product of the binomials using the appropriate special product…

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).

\\(2x - 3)(2x + 3)\\

Explanation:

Identify the special product pattern

The given expression is:

$$ (2x - 3)(2x + 3) $$

This matches the Difference of Squares pattern, which is a key type of Special Products:

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

Define the terms for substitution

Using the Difference of Squares formula, we identify the terms \(a\) and \(b\):

$$ a = 2x $$
$$ b = 3 $$

Apply the formula

Using the Difference of Squares and Special Products knowledge points:

$$ LATEXBLOCK0 $$

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).

$$(2x - 3)(2x + 3) =$$

<blank>\(4x^2 - 9\)</blank>