What is the common factor of the numerator and denominator in the expression ((2x+3)(x-4))/((x-4)(x+4)) Enter your answer as a binomial, like this: x + 7

Question

What is the common factor of the numerator and denominator in the expression
`((2x+3)(x-4))/((x-4)(x+4))`

Enter your answer as a binomial, like this: x + 7

Answer 1

Explanation:

(x - 4)

What you are being asked to do is find the exact same binomial in the top as is in the bottom.

But there's a small catch. You must stipulate that x cannot equal 4. If it does, then you will get 0/0 which is undefined. You can't have that happening -- not at this level.

Any other value for x is fine.