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Caso especial del trinomio de la forma x² + bx + c
25x⁸ + 5x⁴ - 6 = Multiplicas y divide por el coeficiente de x² el 25
25[(25x⁸ + 5(25x⁴) - (25 * 6)]/25 =
[25²x⁸ + 5(25x⁴) - 150]/25 =
(25x⁴ + 15)(25x⁴ - 10)/25 = Sacas factor comun 5 y 5
5(5x⁴ + 3)(5x⁴ - 2)/25 = Simplifico el 25
(5x⁴ + 3)(5x⁴ - 2)
Respuesta.
(5x⁴ + 3)(5x⁴ - 2)