Question

Mhanifa or someone else can you PLZ answer this

Answer 1

`\frac{7 {n}^(2) - 41n + 8 }{ {n}^(2) - 1 }`

Explanation:

`(7n)/(n + 1) + (8)/(n - 7) \\ \\ = (7n(n - 7) + 8(n + 1))/((n + 1)(n - 1)) \\ \\ = \frac{7 {n}^(2) - 49n + 8n + 8 }{ {n}^(2) - 1 } \\ \\ = \frac{7 {n}^(2) - 41n + 8 }{ {n}^(2) - 1 }`

Answer 2

Simplified:

• 
  `(7n)/(n + 1) + (8)/(n - 7)` =

• 
  `(7n(n - 7) + 8(n + 1))/((n + 1)(n - 7))` =
• 
  `(7n^2 - 49n + 8n + 8)/(n^2 + n - 7n - 7)` =
• 
  `(7n^2 - 41n + 8)/(n^2 - 6n - 7)`

This can be further simplified if required

• 
  `(7n^2 - 42n -49 + n + 57)/(n^2 - 6n - 7)` =
• 
  `7 + (n + 57)/(n^2 - 6n - 7)`