Answer:
Option (D)
Step-by-step explanation:
Product of the given rational expressions is,
[tex]\frac{x+1}{x-4}\times \frac{5x}{(x+1)}[/tex]
Further solve the given expression,
[tex]\frac{x+1}{x-4}\times \frac{5x}{(x+1)}[/tex] = [tex]\frac{5x(x+1)}{(x+1)(x-4)}[/tex]
Now we can cancel the common terms from numerator and denominator.
Common term → (x + 1)
Therefore, solution of the rational expression will be,
[tex]\frac{5x}{x-4}[/tex]
Option (D) will be the correct option.
