Factor. 16u^2 - 25 ______

Approach Determination: Determine the approach to factor 16u^2 - 25. We can observe that the expression is a difference of squares, which can be factored using the formula a^2 - b^2 = (a - b)(a + b).Form Identification: Identify 16u^2 - 25 in the form of a^2 - b^2. 16u^2 can be written as (4u)^2 because 4u * 4u = 16u^2. 25 can be written as 5^2 because 5 * 5 = 25. So, 16u^2 - 25 is in the form of (4u)^2 - 5^2.Formula Application: Apply the difference of squares formula to factor the expression. Using the formula a^2 - b^2 = (a - b)(a + b), we substitute a with 4u and b with 5. (4u)^2 - 5^2 = (4u - 5)(4u + 5).Final Factored Form: Write the final factored form. The factored form of 16u^2 - 25 is (4u - 5)(4u + 5).

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Algebra 1

Factor quadratics: special cases

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Q. Factor.

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16u^2 - 25

Approach Determination: Determine the approach to factor $16u^2 - 25$ . We can observe that the expression is a difference of squares, which can be factored using the formula $a^2 - b^2 = (a - b)(a + b)$ .
Form Identification: Identify $16u^2 - 25$ in the form of $a^2 - b^2$ . $16u^2$ can be written as $(4u)^2$ because $4u \times 4u = 16u^2$ . $25$ can be written as $5^2$ because $5 \times 5 = 25$ . So, $16u^2 - 25$ is in the form of $(4u)^2 - 5^2$ .
Formula Application: Apply the difference of squares formula to factor the expression. $\newline$ Using the formula $a^2 - b^2 = (a - b)(a + b)$ , we substitute $a$ with $4u$ and $b$ with $5$ . $\newline$ $(4u)^2 - 5^2 = (4u - 5)(4u + 5)$ .
Final Factored Form: Write the final factored form. $\newline$ The factored form of $16u^2 - 25$ is $(4u - 5)(4u + 5)$ .