Find the product. Simplify your answer. (4w - 2)(4w + 2) ______

Identify Form: Identify the form of the expression. The expression (4w - 2)(4w + 2) is in the form of (a - b)(a + b). This is a special case known as the difference of squares. Special case: (a - b)(a + b) = a^2 - b^2Identify Values: Identify the values of a and b. Compare (4w - 2)(4w + 2) with (a - b)(a + b). a = 4w b = 2Apply Formula: Apply the difference of squares formula. Using the values of a and b, we can expand (4w - 2)(4w + 2) using the formula. (a - b)(a + b) = a^2 - b^2 (4w - 2)(4w + 2) = (4w)^2 - (2)^2Simplify Expression: Simplify the expression. (4w)^2 - (2)^2 = (4w * 4w) - (2 * 2) = 16w^2 - 4

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Find the product. Simplify your answer. $\newline$ $(4w - 2)(4w + 2)$

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Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(4w - 2)(4w + 2)

Identify Form: Identify the form of the expression. $\newline$ The expression $(4w - 2)(4w + 2)$ is in the form of $(a - b)(a + b)$ . $\newline$ This is a special case known as the difference of squares. $\newline$ Special case: $(a - b)(a + b) = a^2 - b^2$
Identify Values: Identify the values of $a$ and $b$ . Compare $(4w - 2)(4w + 2)$ with $(a - b)(a + b)$ . $a = 4w$ $b = 2$
Apply Formula: Apply the difference of squares formula. $\newline$ Using the values of $a$ and $b$ , we can expand $(4w - 2)(4w + 2)$ using the formula. $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(4w - 2)(4w + 2) = (4w)^2 - (2)^2$
Simplify Expression: Simplify the expression. $\newline$ $(4w)^2 - (2)^2$ $\newline$ = $(4w \times 4w) - (2 \times 2)$ $\newline$ = $16w^2 - 4$