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Factor completely. $q^2-49$

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Factor polynomials

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Q. Factor completely.

q^2-49

Identify Expression Type: Step Title: Identify the Type of Expression $\newline$ Concise Step Description: Determine the type of algebraic expression to apply the correct factoring method. $\newline$ Step Calculation: The expression $q^2 - 49$ is a difference of squares because it can be written as $q^2 - (7^2)$ .
Apply Factoring Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the difference of squares factoring formula, which is $a^2 - b^2 = (a + b)(a - b)$ . $\newline$ Step Calculation: Factoring $q^2 – 49$ using the formula gives us $(q + 7)(q - 7)$ .

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