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 + 2)^2\\

Explanation:

Identify the appropriate special product formula

Using the Square of a Binomial Sum and Special Products knowledge points

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

Define the terms of the binomial

Using the Square of a Binomial Sum knowledge point

$$
LATEXBLOCK0
$$

Expand the squared terms

Using the Square of a Binomial Sum knowledge point

$$
LATEXBLOCK1
$$

Calculate the middle term

Using the Square of a Binomial Sum knowledge point

$$ 2ab = 2(6x)(2) = 24x $$

Combine the terms for the final product

Using the Square of a Binomial Sum knowledge point

$$ (6x + 2)^2 = 36x^2 + 24x + 4 $$

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).

\((6x + 2)^2 =\) <blank>\(36x^2 + 24x + 4\)</blank>