Question

which of the following is the product of the rational expression shown below? make sure your answer is in reduced form x+1/x-4 * 5/x+1

Answer 1

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:

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

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:

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

If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.

Answer 2

Answer:

C

Step-by-step explanation:

$\frac{x+1}{x-4}$ × $\frac{5x}{x+1}$ ← cancel x + 1 on numerator and denominator

= $\frac{1}{x-4}$ × $\frac{5x}{1}$

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