(2(x ^ 2 - 16)) / ((x - 4)(x + 4)) - 5(x ^ 2 + x + 1)(x - 1) / ((x ^ 3 - 1) ) + (x + 7) ^ 2 / ((x ^ 3 + 21x ^ 2 + 147x + 343) ) = 2?

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%28x%5E2-16%29%7D%7B%28x%2B4%29%28x-4%29%7D-%20%5Cfrac%7B5%28x%5E2%2Bx%2B1%29%28x-1%29%7D%7Bx%5E3-1%7D%20%2B%20%5Cfrac%7B%28x%2B7%29%5E2%7D%7Bx%5E3%2B21x%5E2%2B147x%2B343%7D%20%3D2" />

<img src="https://tex.z-dn.net/?f=Lo" /> <img src="https://tex.z-dn.net/?f=hare" /> <img src="https://tex.z-dn.net/?f=por" /> <img src="https://tex.z-dn.net/?f=partes" />

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%28x%5E2-16%29%7D%7B%28x%2B4%29%28x-4%29%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B2%28x%5E2-16%29%7D%7Bx%5E2-16%7D%20%5C%5C%20%20%5C%5C2" />

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%28x%5E2%2Bx%2B1%29%28x-1%29%7D%7Bx%5E3-1%7D%20%5C%5C%20%20%5C%5C%5Cfrac%7B5%28x%5E3-1%29%7D%7Bx%5E3-1%7D%20%5C%5C%20%20%5C%5C%20%205" />

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x%2B7%29%5E2%7D%7Bx%5E3%2B21x%5E2%2B147x%2B343%7D%20%20" />

<img src="https://tex.z-dn.net/?f=Usare" /> <img src="https://tex.z-dn.net/?f=Division" /> [img = 10] [img = 11] [img = 12] [img = 13]

x³ + 21x² + 147x + 343

x³ x² x TI

1 21 147 343 | - 7 - - - - - - >(x + 7) - 7 - 98 - 343 |

________________ |____

1 14 49 0

(x + 7)(x² + 14x + 49) - - - - - - - - - >Factorizo la ecuacion cuadratica

(x + 7)(x + 7)(x + 7)

(x + 7)³ - - - - - - - - - - - - >Asi queda el denominador

[img = 14]

Me queda de esta manera entonces :

[img = 15]

[img = 16] [img = 17] [img = 18] [img = 19] [img = 20] [img = 21] [img = 22] [img = 23] [img = 24] [img = 25]

[img = 26] [img = 27] [img = 28].