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

Identify special case: Identify the special case that applies to this problem. The expression (3a - 2)(3a + 2) is in the form of (a - b)(a + b). Special case: (a - b)(a + b) = a^2 - b^2Identify values of a and b: Identify the values of a and b. Compare (3a - 2)(3a + 2) with (a - b)(a + b). a = 3a b = 2Apply difference of squares formula: Apply the difference of squares formula to expand (3a - 2)(3a + 2). (a - b)(a + b) = a^2 - b^2 (3a - 2)(3a + 2) = (3a)^2 - (2)^2Simplify expression: Simplify (3a)^2 - (2)^2. (3a)^2 - (2)^2 = (3a * 3a) - (2 * 2) = 9a^2 - 4

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

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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

(3a - 2)(3a + 2)

Identify special case: Identify the special case that applies to this problem. $\newline$ The expression $(3a - 2)(3a + 2)$ is in the form of $(a - b)(a + b)$ . $\newline$ Special case: $(a - b)(a + b) = a^2 - b^2$
Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(3a - 2)(3a + 2)$ with $(a - b)(a + b)$ . $a = 3a$ $b = 2$
Apply difference of squares formula: Apply the difference of squares formula to expand $(3a - 2)(3a + 2)$ . $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(3a - 2)(3a + 2) = (3a)^2 - (2)^2$
Simplify expression: Simplify $(3a)^2 - (2)^2.$ $(3a)^2 - (2)^2 = (3a \times 3a) - (2 \times 2)$ $= 9a^2 - 4$