Expand. If necessary, combine like terms. (x+5)(x-5)=

Identify special case: Identify the special case that applies to the given expression. The expression (x+5)(x-5) 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 (x+5)(x-5) with (a+b)(a-b). a = x b = 5Apply difference of squares formula: Apply the difference of squares formula to expand (x+5)(x-5). (a+b)(a-b) = a^2 - b^2 (x+5)(x-5) = x^2 - 5^2Simplify expression: Simplify x^2 - 5^2. x^2 - 5^2 = x^2 - 25

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Expand. If necessary, combine like terms.

(x+5)(x-5)=

Expand. If necessary, combine like terms. $\newline$ $(x+5)(x-5)=$

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Algebra 1

Multiply two binomials: special cases

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Q. Expand. If necessary, combine like terms.

\newline

(x+5)(x-5)=

Identify special case: Identify the special case that applies to the given expression. $\newline$ The expression $(x+5)(x-5)$ 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 $b$ . $\newline$ Compare $(x+5)(x-5)$ with $(a+b)(a-b)$ . $\newline$ $a = x$ $\newline$ $b = 5$
Apply difference of squares formula: Apply the difference of squares formula to expand $(x+5)(x-5)$ . $\newline$ $(a+b)(a-b) = a^2 - b^2$ $\newline$ $(x+5)(x-5) = x^2 - 5^2$
Simplify expression: Simplify $x^2 - 5^2$ . $\newline$ $x^2 - 5^2 = x^2 - 25$