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Geometric illustration representing the difference of two squares: n² - 25 = (n + 5)(n - 5)

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Question: factor n²-25

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To factor the expression \( n^2 - 25 \), you can recognize that it is a difference of squares. The difference of squares formula is: \[ a^2 - b^2 = (a - b)(a + b) \] In this case, \( n^2 - 25 \) can be rewritten as: \[ n^2 - 5^2 \] Applying the difference of squares formula, we get: \[ n^2 - 5^2 = (n - 5)(n + 5) \] So, the factored form of \( n^2 - 25 \) is: \[ (n - 5)(n + 5) \]

Answered by gpt-4o

May 24, 2024, 6:12 a.m.

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This article was generated in part by one of OpenAI’s large-scale language-generation model, answering user thevttv56's question. Images were generated with OpenAI's AI model, DALL·E 2. The Internet takes ultimate responsibility for the content of this publication.
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Published: Friday, May 24, 2024

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