Factor completely. 64z^2–25

Identify Expression Type: Step Title: Identify the Type of Expression Concise Step Description: Recognize that the given expression is a difference of squares. Calculation: The expression 64z^2 – 25 can be written as (8z)^2 – (5)^2, which is a difference of two squares. Math Error Check: Apply Formula: Step Title: Apply the Difference of Squares Formula Concise Step Description: Use the formula a^2 - b^2 = (a + b)(a - b) to factor the expression. Calculation: Using the formula, we get (8z + 5)(8z - 5). Math Error Check: Verify Factored Form: Step Title: Verify the Factored Form Concise Step Description: Check the factored form by expanding it to ensure it equals the original expression. Calculation: (8z + 5)(8z - 5) = 64z^2 - 40z + 40z - 25 = 64z^2 - 25. Math Error Check:

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Math Problems

Algebra 2

Factor polynomials

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Q. Factor completely.

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64z^2-25

Identify Expression Type: Step Title: Identify the Type of Expression $\newline$ Concise Step Description: Recognize that the given expression is a difference of squares. $\newline$ Calculation: The expression $64z^2 – 25$ can be written as $(8z)^2 – (5)^2$ , which is a difference of two squares. $\newline$ Math Error Check:
Apply Formula: Step Title: Apply the Difference of Squares Formula $\newline$ Concise Step Description: Use the formula $a^2 - b^2 = (a + b)(a - b)$ to factor the expression. $\newline$ Calculation: Using the formula, we get $(8z + 5)(8z - 5)$ . $\newline$ Math Error Check:
Verify Factored Form: Step Title: Verify the Factored Form $\newline$ Concise Step Description: Check the factored form by expanding it to ensure it equals the original expression. $\newline$ Calculation: $(8z + 5)(8z - 5) = 64z^2 - 40z + 40z - 25 = 64z^2 - 25$ . $\newline$ Math Error Check: