Necesito simplificar esta ecuacion (1 / ( 4a - 12 x)) - ((a2 + 9x ^ 2) / (a ^ 3 - 27x ^ 3)) + (9 / ((2)(a ^ 2 + 3ax + 9x ^ 2))).
ax² + bx + c = 0
En resumen
Reescribiendo la ecuación de manera mas ordenada : <img src="https://tex.z-dn.net/?
Reescribiendo la ecuación de manera mas ordenada : <img src="https://tex.z-dn.net/?f=%20%5Cleft%28%5Cfrac%7B1%7D%7B%5Cleft%284a-12x%5Cright%29%7D%5Cright%29-%5Cleft%28%5Cfrac%7B%5Cleft%28a%5Ccdot%20%5C%3A2%2B9x%5E2%5Cright%29%7D%7B%5Cleft%28a%5E3-27x%5E3%5Cright%29%7D%5Cright%29%2B%5Cleft%28%5Cfrac%7B9%7D%7B%5Cleft%28%5Cleft%282%5Cright%29%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%5Cright%29%7D%5Cright%29%20" /> <img src="https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B1%7D%7B4a-12x%7D-%5Cfrac%7Ba%5Ccdot%20%5C%3A2%2B9x%5E2%7D%7Ba%5E3-27x%5E3%7D%2B%5Cfrac%7B9%7D%7B2%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%7D%20" />factorizar : 4a - 12x = 4(a - x)<img src="https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B1%7D%7B4%5Cleft%28a-3x%5Cright%29%7D-%5Cfrac%7Ba%5Ccdot%20%5C%3A2%2B9x%5E2%7D%7Ba%5E3-27x%5E3%7D%2B%5Cfrac%7B9%7D%7B2%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%7D%20" />factorizar : a³ - 27³ = (a - 3x)(9x² + 3xa + a²)<img src="https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B1%7D%7B4%5Cleft%28a-3x%5Cright%29%7D-%5Cfrac%7Ba%5Ccdot%20%5C%3A2%2B9x%5E2%7D%7B%5Cleft%28a-3x%5Cright%29%5Cleft%289x%5E2%2B3xa%2Ba%5E2%5Cright%29%7D%2B%5Cfrac%7B9%7D%7B2%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%7D%20" />reescribir fracciones basado en el mínimo común denominador : <img src="https://tex.z-dn.net/?f=%20%3D%5Cfrac%7Ba%5E2%2B3ax%2B9x%5E2%7D%7B4%5Cleft%28a-3x%5Cright%29%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%7D-%5Cfrac%7B%5Cleft%28a%5Ccdot%20%5C%3A2%2B9x%5E2%5Cright%29%5Ccdot%20%5C%3A4%7D%7B%5Cleft%28a-3x%5Cright%29%5Cleft%289x%5E2%2B3xa%2Ba%5E2%5Cright%29%5Ccdot%20%5C%3A4%7D%2B%5Cfrac%7B18%5Cleft%28a-3x%5Cright%29%7D%7B4%5Cleft%28a-3x%5Cright%29%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%7D%20" /> <img src="https://tex.z-dn.net/?f=%20%3D%5Cfrac%7Ba%5E2%2B3ax%2B9x%5E2-%5Cleft%28a%5Ccdot%20%5C%3A2%2B9x%5E2%5Cright%29%5Ccdot%20%5C%3A4%2B18%5Cleft%28a-3x%5Cright%29%7D%7B4%5Cleft%28a-3x%5Cright%29%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%7D%20" />entonces finalmente : <img src="https://tex.z-dn.net/?f=%20%5Cleft%28%5Cfrac%7B1%7D%7B%5Cleft%284a-12x%5Cright%29%7D%5Cright%29-%5Cleft%28%5Cfrac%7B%5Cleft%28a%5Ccdot%20%5C%3A2%2B9x%5E2%5Cright%29%7D%7B%5Cleft%28a%5E3-27x%5E3%5Cright%29%7D%5Cright%29%2B%5Cleft%28%5Cfrac%7B9%7D%7B%5Cleft%28%5Cleft%282%5Cright%29%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%5Cright%29%7D%5Cright%29%3D%5Cfrac%7Ba%5E2%2B3ax%2B10a-27x%5E2-54x%7D%7B4%5Cleft%28a-3x%5Cright%29%5Cleft%28a%5E2%2B3ax%2B9x%5E2%5Cright%29%7D%20" />.
Eso queda (x - 2)(2x + 3) / (x - 2)(x + 3) se cancelan terminos semejantes y queda (2x + 3) / (x + 3).
Y = (x) ( 30 - x) = y = 30x - x ^ 2 y = 30x - x ^ 2, x€R Espero te sirva.
Respuesta : no es una ecuación, si no una contradicciónExplicación paso a paso : x + 1 = x - 1 x - x = - 1 - 1 se dejan las x a un lado y los números al otro0 = - 2 esto es FALSO, ahí está la contradicción.