Find the product. Simplify your answer. (2x + 3)(2x - 3) ______

Identify Special Case: Identify the special case that applies to the given expression. The expression (2x + 3)(2x - 3) is in the form of (a + b)(a - b). Special case: (a + b)(a - b) = a^2 - b^2Identify Values of a and b: Identify the values of a and b. Compare (2x + 3)(2x - 3) with (a + b)(a - b). a = 2x b = 3Apply Difference of Squares Formula: Apply the difference of squares formula to expand (2x + 3)(2x - 3). (a + b)(a - b) = a^2 - b^2 (2x + 3)(2x - 3) = (2x)^2 - (3)^2Simplify Expression: Simplify (2x)^2 - (3)^2. (2x)^2 - (3)^2 = (2x * 2x) - (3 * 3) = 4x^2 - 9

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Find the product. Simplify your answer. $\newline$ $(2x + 3)(2x - 3)$

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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

(2x + 3)(2x - 3)

Identify Special Case: Identify the special case that applies to the given expression. $\newline$ The expression $(2x + 3)(2x - 3)$ is in the form of $(a + b)(a - b)$ . $\newline$ Special case: $(a + b)(a - b) = a^2 - b^2$
Identify Values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(2x + 3)(2x - 3)$ with $(a + b)(a - b)$ . $a = 2x$ $b = 3$
Apply Difference of Squares Formula: Apply the difference of squares formula to expand $(2x + 3)(2x - 3)$ . $\newline$ $(a + b)(a - b) = a^2 - b^2$ $\newline$ $(2x + 3)(2x - 3) = (2x)^2 - (3)^2$
Simplify Expression: Simplify $(2x)^2 - (3)^2.$ $(2x)^2 - (3)^2 = (2x \cdot 2x) - (3 \cdot 3)$ $= 4x^2 - 9$