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

Identify special case: Identify the special case for the product (y - 4)(y + 4). This product 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 (y - 4)(y + 4) with (a - b)(a + b). a = y b = 4Apply difference of squares formula: Apply the difference of squares formula to expand (y - 4)(y + 4). (a - b)(a + b) = a^2 - b^2 (y - 4)(y + 4) = y^2 - 4^2Simplify expression: Simplify y^2 - 4^2. y^2 - 4^2 = y^2 - 16

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

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Algebra 1

Multiply two binomials: special cases

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Q. Find the product. Simplify your answer.

\newline

(y - 4)(y + 4)

Identify special case: Identify the special case for the product $(y - 4)(y + 4)$ . This product 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 $(y - 4)(y + 4)$ with $(a - b)(a + b)$ . $a = y$ $b = 4$
Apply difference of squares formula: Apply the difference of squares formula to expand $(y - 4)(y + 4)$ . $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(y - 4)(y + 4) = y^2 - 4^2$
Simplify expression: Simplify $y^2 - 4^2$ . $\newline$ $y^2 - 4^2 = y^2 - 16$