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

Identify Pattern: Identify the pattern in the expression (4d + 2)(4d - 2). This expression 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 (4d + 2)(4d - 2) with (a + b)(a - b). a = 4d b = 2Apply Difference of Squares Formula: Apply the difference of squares formula to expand (4d + 2)(4d - 2). (a + b)(a - b) = a^2 - b^2 (4d + 2)(4d - 2) = (4d)^2 - (2)^2Simplify Expression: Simplify (4d)^2 - (2)^2. (4d)^2 - (2)^2 = (4d * 4d) - (2 * 2) = 16d^2 - 4

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

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Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(4d + 2)(4d - 2)

Identify Pattern: Identify the pattern in the expression $(4d + 2)(4d - 2)$ . This expression is in the form of $(a + b)(a - b)$ , which is a difference of squares. Special case: $(a + b)(a - b) = a^2 - b^2$
Identify Values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(4d + 2)(4d - 2)$ with $(a + b)(a - b)$ . $a = 4d$ $b = 2$
Apply Difference of Squares Formula: Apply the difference of squares formula to expand $(4d + 2)(4d - 2)$ . $\newline$ $(a + b)(a - b) = a^2 - b^2$ $\newline$ $(4d + 2)(4d - 2) = (4d)^2 - (2)^2$
Simplify Expression: Simplify $(4d)^2 - (2)^2.$ $(4d)^2 - (2)^2 = (4d \times 4d) - (2 \times 2)$ $= 16d^2 - 4$