8 added to a number is divided by 7 subtracted from the same number can be expressed as:
(x + 8)(x − 7)
Let's consider a number be,'x'.
So, 8 is added to it ⇒ x + 8------(1)
And 7 is subtracted from it ⇒ x − 7-------(2)
So, on dividing equations (1) and(2)
⇒ (x + 8)(x − 7)