Question

Rewrite the rational expression so it has (2x)/(x+4),D=x² -4x-32

Answer 1

To rewrite the rational expression as (2x)/(x+4), divide both the numerator and denominator by (x-8).

Step-by-step explanation:

To rewrite the rational expression as (2x)/(x+4), we need to simplify the given expression. We can start by factoring the denominator, which is D=x² -4x-32. The factors of -32 that add up to -4 are -8 and 4. Therefore, we can rewrite D as D=(x-8)(x+4). Now, we can rewrite the original expression:

(2x)/((x-8)(x+4))

Since the denominator can be factored further, we can divide both the numerator and denominator by (x-8) to simplify the expression:

(2x)/(x+4)