Find the product. Simplify your answer. (3p + 2)(3p - 2) ______

Identify Form: Identify the form of the expression. The expression (3p + 2)(3p - 2) is in the form of (a + b)(a - b), which is a difference of squares.Apply Formula: Apply the difference of squares formula. The difference of squares formula is (a + b)(a - b) = a^2 - b^2.Identify Values: Identify the values of a and b. In the expression (3p + 2)(3p - 2), a is 3p and b is 2.Substitute Values: Substitute the values of a and b into the formula. (3p + 2)(3p - 2) = (3p)^2 - (2)^2Calculate Squares: Calculate the squares of a and b. (3p)^2 = 9p^2 (2)^2 = 4Subtract Squares: Subtract the square of b from the square of a. 9p^2 - 4

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Find the product. Simplify your answer. $\newline$ $(3p + 2)(3p - 2)$

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Math Problems

Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(3p + 2)(3p - 2)

Identify Form: Identify the form of the expression. $\newline$ The expression $(3p + 2)(3p - 2)$ is in the form of $(a + b)(a - b)$ , which is a difference of squares.
Apply Formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $(a + b)(a - b) = a^2 - b^2$ .
Identify Values: Identify the values of $a$ and $b$ . In the expression $(3p + 2)(3p - 2)$ , $a$ is $3p$ and $b$ is $2$ .
Substitute Values: Substitute the values of $a$ and $b$ into the formula. $\newline$ $(3p + 2)(3p - 2) = (3p)^2 - (2)^2$
Calculate Squares: Calculate the squares of $a$ and $b$ . $(3p)^2 = 9p^2$ $(2)^2 = 4$
Subtract Squares: Subtract the square of $b$ from the square of $a$ . $\newline$ $9p^2 - 4$