Final answer:
The given expression can be written as a single fraction in the form (ax+b)/(x²-16) by finding a common denominator and simplifying the expression.
Step-by-step explanation:
The given expression 2-(x+3)/(x-4)-(x-7)/(x+4) can be written as a single fraction in the form (ax+b)/(x²-16), where a and b are integers.
To simplify this expression, we can start by finding a common denominator for the fractions. The common denominator for (x-4) and (x+4) is (x-4)(x+4) = x²-16.
Then, by multiplying each term by the appropriate factors, the expression can be written as (2(x-4)- (x+3)(x+4) - (x-7)(x-4))/(x²-16).