Question

Which expression is equal to (x+2)(x-4)/(x-4)(x+4)

A) x-2/x+4

B) x+4/x+2

C) x-2/x-4

D) x+2/x+4

Answer 1

D.) x+2/x+4

I took the quiz :)

Explanation:

Answer 2

The expression equal to
`((x+2)(x-4))/((x-4)(x+4))` is
`((x+2))/((x+4))`

Option D is correct.

Explanation:

We need to solve the expression
`((x+2)(x-4))/((x-4)(x+4))`

Since it is a fraction, and all terms are multiplying with each other we can cancel out common terms.

Since x-4 is both in numerator and denominator so, it will be cancelled out and we will get:

`((x+2)(x-4))/((x-4)(x+4))\\=((x+2))/((x+4))`

So, the expression equal to
`((x+2)(x-4))/((x-4)(x+4))` is
`((x+2))/((x+4))`

Option D is correct.