Factor. c^2 - 16 ______

Identify Form of Expression: Identify the form of the expression. The given expression is c^2 - 16. This is a difference of squares because it can be written as c^2 - 4^2, where c is any real number and 4 is a constant.Apply Difference of Squares Formula: Apply the difference of squares formula. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). Here, a = c and b = 4. So, c^2 - 16 = c^2 - 4^2 = (c - 4)(c + 4).Check Factored Form: Check the factored form. To ensure there are no math errors, we can expand (c - 4)(c + 4) to check if it equals the original expression. (c - 4)(c + 4) = c^2 + 4c - 4c - 16 = c^2 - 16. The expanded form matches the original expression, so the factoring is correct.

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Q. Factor.

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c^2 - 16

Identify Form of Expression: Identify the form of the expression. $\newline$ The given expression is $c^2 - 16$ . This is a difference of squares because it can be written as $c^2 - 4^2$ , where $c$ is any real number and $4$ is a constant.
Apply Difference of Squares Formula: Apply the difference of squares formula. $\newline$ The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$ . Here, $a = c$ and $b = 4$ . $\newline$ So, $c^2 - 16 = c^2 - 4^2 = (c - 4)(c + 4)$ .
Check Factored Form: Check the factored form. $\newline$ To ensure there are no math errors, we can expand $(c - 4)(c + 4)$ to check if it equals the original expression. $\newline$ $(c - 4)(c + 4) = c^2 + 4c - 4c - 16 = c^2 - 16.$ $\newline$ The expanded form matches the original expression, so the factoring is correct.