Question

What is the product of the rational expressions shown below? Make sure your
answer is in reduced form.

Answer 1

Answer:

Option (D)

Step-by-step explanation:

Product of the given rational expressions is,

$\frac{x+1}{x-4}\times \frac{5x}{(x+1)}$

Further solve the given expression,

$\frac{x+1}{x-4}\times \frac{5x}{(x+1)}$ = $\frac{5x(x+1)}{(x+1)(x-4)}$

Now we can cancel the common terms from numerator and denominator.

Common term → (x + 1)

Therefore, solution of the rational expression will be,

$\frac{5x}{x-4}$

Option (D) will be the correct option.