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

Identify Problem Structure: Identify the structure of the problem. We are asked to find the product of two binomials: (3u + 3)(3u - 3). This is in the form of (a + b)(a - b), which is a difference of squares.Apply Difference of Squares: Apply the difference of squares formula. The difference of squares formula is (a + b)(a - b) = a^2 - b^2. Here, a = 3u and b = 3.Calculate Squares of a and b: Calculate the squares of a and b. Square a: (3u)^2 = 9u^2. Square b: 3^2 = 9.Subtract Squares: Subtract the square of b from the square of a. Using the difference of squares formula: 9u^2 - 9.Simplify Expression: Simplify the expression. The simplified form of the product is 9u^2 - 9.

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

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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

(3u + 3)(3u - 3)

Identify Problem Structure: Identify the structure of the problem. $\newline$ We are asked to find the product of two binomials: $(3u + 3)(3u - 3)$ . $\newline$ This is in the form of $(a + b)(a - b)$ , which is a difference of squares.
Apply Difference of Squares: Apply the difference of squares formula. The difference of squares formula is $(a + b)(a - b) = a^2 - b^2$ . Here, $a = 3u$ and $b = 3$ .
Calculate Squares of a and b: Calculate the squares of $a$ and $b$ . $\newline$ Square $a$ : $(3u)^2 = 9u^2$ . $\newline$ Square $b$ : $3^2 = 9$ .
Subtract Squares: Subtract the square of $b$ from the square of $a$ . Using the difference of squares formula: $9u^2 - 9$ .
Simplify Expression: Simplify the expression. $\newline$ The simplified form of the product is $9u^2 - 9$ .