En este caso vamos a sumarle x^2 y restarle x^2.
[tex]x {}^{5} + x - 1 - x {}^{2} + x {}^{2} [/tex]
Vamos a agrupar términos y luego aplicar diferencia de cubos :
[tex]x {}^{5} + x {}^{2} - x {}^{2} + x - 1 \\ \\ x {}^{2} (x {}^{3} + 1) - (x {}^{2} - x + 1) \\ \\ x {}^{2} (x + 1)(x {}^{2} - x + 1) - (x {}^{2} - x + 1) \\ \\ (x {}^{2} - x + 1)(x {}^{3} + x {}^{2} - 1)[/tex]
CLAVE A
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Tema: Factorizacion
En este caso vamos a sumarle x^2 y restarle x^2.
[tex]x {}^{5} + x - 1 - x {}^{2} + x {}^{2} [/tex]
Vamos a agrupar términos y luego aplicar diferencia de cubos :
[tex]x {}^{5} + x {}^{2} - x {}^{2} + x - 1 \\ \\ x {}^{2} (x {}^{3} + 1) - (x {}^{2} - x + 1) \\ \\ x {}^{2} (x + 1)(x {}^{2} - x + 1) - (x {}^{2} - x + 1) \\ \\ (x {}^{2} - x + 1)(x {}^{3} + x {}^{2} - 1)[/tex]
CLAVE A