Answer:
C
Step-by-step explanation:
[tex]\frac{x+1}{x-4}[/tex] × [tex]\frac{5x}{x+1}[/tex] ← cancel x + 1 on numerator and denominator
= [tex]\frac{1}{x-4}[/tex] × [tex]\frac{5x}{1}[/tex]
= [tex]\frac{5x}{x-4}[/tex]
Answer:
5x/(x-4)
Step-by-step explanation:
To multiply fractions, all we have to do is multiply the numerators together and the denominators together. If we do that, we get the following:
[tex]\frac{x+1}{x-4}*\frac{5x}{x+1}=\frac{(x+1)(5x)}{(x-4)(x+1)}[/tex]
We notice that both the numerator and the denominator have an (x+1) term. Whenever you have something divided by itself, you get 1. In other words, they cancel out. As such, we can remove them from our answer to simplify it:
[tex]\frac{5x}{x-4}[/tex]
If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.
