Factor. 25s^2 - 16 ______

Recognize Difference of Squares: Determine the approach to factor 25s^2 - 16. We can recognize this expression as a difference of squares because it is in the form a^2 - b^2, where both terms are perfect squares.Identify Perfect Squares: Identify the squares in the expression 25s^2 - 16. 25s^2 can be written as (5s)^2 because 5s * 5s = 25s^2. 16 can be written as 4^2 because 4 * 4 = 16. So, 25s^2 - 16 is in the form (5s)^2 - 4^2.Apply Factoring Formula: Apply the difference of squares formula to factor the expression. The difference of squares formula is a^2 - b^2 = (a - b)(a + b). Using this formula, we can write (5s)^2 - 4^2 as (5s - 4)(5s + 4).

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

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25s^2 - 16

Recognize Difference of Squares: Determine the approach to factor $25s^2 - 16$ . We can recognize this expression as a difference of squares because it is in the form $a^2 - b^2$ , where both terms are perfect squares.
Identify Perfect Squares: Identify the squares in the expression $25s^2 - 16$ . $\newline$ $25s^2$ can be written as $(5s)^2$ because $5s \times 5s = 25s^2$ . $\newline$ $16$ can be written as $4^2$ because $4 \times 4 = 16$ . $\newline$ So, $25s^2 - 16$ is in the form $(5s)^2 - 4^2$ .
Apply Factoring Formula: Apply the difference of squares formula to factor the expression. $\newline$ The difference of squares formula is $a^2 - b^2 = (a - b)(a + b)$ . $\newline$ Using this formula, we can write $(5s)^2 - 4^2$ as $(5s - 4)(5s + 4)$ .