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Задача Задача №2648198
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Аноним
20 января 2025 10:12 · публичный вопрос
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Аноним

mn^3-n

Ответ нейросети
20 января 2025 10:12

The expression \( mn^3 - n \) can be factored. We can see that \( n \) is a common factor in both terms:

\[ mn^3 - n = n(mn^2 - 1) \]

Next, we can recognize that \( mn^2 - 1 \) can be factored further, as it is a difference of squares:

\[ mn^2 - 1 = (mn - 1)(mn + 1) \]

Putting it all together, the complete factorization of the original expression is:

\[ mn^3 - n = n(mn - 1)(mn + 1) \]

This provides a clearer form of the original expression, making it easier to analyze or solve if needed. If you have a specific context or additional questions regarding this expression, please let me know!