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

Identify Form: Identify the form of the expression. The expression (3c - 2)(3c + 2) is in the form of (a - b)(a + b), which is a difference of squares. Special case: (a - b)(a + b) = a^2 - b^2Identify Values: Identify the values of a and b. Compare (3c - 2)(3c + 2) with (a - b)(a + b). a = 3c b = 2Apply Formula: Apply the difference of squares formula. Using the values of a and b, we apply the formula (a - b)(a + b) = a^2 - b^2. (3c - 2)(3c + 2) = (3c)^2 - (2)^2Simplify Expression: Simplify the expression. (3c)^2 - (2)^2 = (3c * 3c) - (2 * 2) = 9c^2 - 4

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

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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

(3c - 2)(3c + 2)

Identify Form: Identify the form of the expression. $\newline$ The expression $(3c - 2)(3c + 2)$ is in the form of $(a - b)(a + b)$ , which is a difference of squares. $\newline$ Special case: $(a - b)(a + b) = a^2 - b^2$
Identify Values: Identify the values of $a$ and $b$ . Compare $(3c - 2)(3c + 2)$ with $(a - b)(a + b)$ . $a = 3c$ $b = 2$
Apply Formula: Apply the difference of squares formula. $\newline$ Using the values of $a$ and $b$ , we apply the formula $(a - b)(a + b) = a^2 - b^2$ . $\newline$ $(3c - 2)(3c + 2) = (3c)^2 - (2)^2$
Simplify Expression: Simplify the expression. $\newline$ $(3c)^2 - (2)^2$ $\newline$ = $(3c \times 3c) - (2 \times 2)$ $\newline$ = $9c^2 - 4$