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

Identify Form of Expression: Identify the form of the expression. The expression (2v - 2)(2v + 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 of a and b: Identify the values of a and b. Compare (2v - 2)(2v + 2) with (a - b)(a + b). a = 2v b = 2Apply Difference of Squares 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. (2v - 2)(2v + 2) = (2v)^2 - (2)^2Calculate Squares of a and b: Calculate the squares of a and b. (2v)^2 - (2)^2 = (2v * 2v) - (2 * 2) = 4v^2 - 4

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

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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

(2v - 2)(2v + 2)

Identify Form of Expression: Identify the form of the expression. $\newline$ The expression $(2v - 2)(2v + 2)$ 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 of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(2v - 2)(2v + 2)$ with $(a - b)(a + b)$ . $a = 2v$ $b = 2$
Apply Difference of Squares Formula: Apply the difference of squares formula. $\newline$ Using the values of $a$ and $b$ , we apply the formula $(a - b)(a + b) = a^2 - b^2$ . $\newline$ $(2v - 2)(2v + 2) = (2v)^2 - (2)^2$
Calculate Squares of a and b: Calculate the squares of a and b. $\newline$ $(2v)^2 - (2)^2 = (2v \times 2v) - (2 \times 2)$ $\newline$ $= 4v^2 - 4$