Find the product. Simplify your answer. (3w + 4)(3w - 4) ______

Identify Form: Identify the form of the expression. The expression (3w + 4)(3w - 4) 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: Identify the values of a and b. Compare (3w + 4)(3w - 4) with (a + b)(a - b). a = 3w b = 4Apply Formula: Apply the difference of squares formula. Using the formula (a + b)(a - b) = a^2 - b^2, we get: (3w + 4)(3w - 4) = (3w)^2 - (4)^2Calculate Squares: Calculate the squares of a and b. (3w)^2 = 9w^2 (4)^2 = 16Subtract Squares: Subtract the square of b from the square of a. 9w^2 - 16

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Find the product. Simplify your answer. $\newline$ $(3w + 4)(3w - 4)$

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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

(3w + 4)(3w - 4)

Identify Form: Identify the form of the expression. $\newline$ The expression $(3w + 4)(3w - 4)$ 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: Identify the values of $a$ and $b$ . Compare $(3w + 4)(3w - 4)$ with $(a + b)(a - b)$ . $a = 3w$ $b = 4$
Apply Formula: Apply the difference of squares formula. $\newline$ Using the formula $(a + b)(a - b) = a^2 - b^2$ , we get: $\newline$ $(3w + 4)(3w - 4) = (3w)^2 - (4)^2$
Calculate Squares: Calculate the squares of $a$ and $b$ . $(3w)^2 = 9w^2$ $(4)^2 = 16$
Subtract Squares: Subtract the square of $b$ from the square of $a$ . $9w^2 - 16$