Question
Al factorizar \( m^{2}-n^{2}-m-n \) se obtiene:
Ask by Willis Knight.
Dec 03,2024 18:44
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Answer
La factorización de \( m^{2} - n^{2} - m - n \) es \( (m + n)(m - n - 1) \).
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Para factorizar la expresión \( m^{2}-n^{2}-m-n \), podemos reorganizar los términos. Primero, reescribimos la expresión como \( m^{2} - m - (n^{2} + n) \). Luego, podemos factorizarla utilizando la técnica de completar el cuadrado o buscando factores específicos. Si reunimos los términos, la expresión puede ser factorizada como \( (m - n - 1)(m + n + 1) \) al observar que se trata de una diferencia de cuadrados y otros términos.
Así que el resultado final al factorizar \( m^{2}-n^{2}-m-n \) es \( (m - n - 1)(m + n + 1) \). ¡Factores al rescate!
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