Question

What is the correct answer to number 7? Please explain and break it down step by step.

Answer 1

Answer:

The answer to your question is (x + 3)

Step-by-step explanation:

                    $\frac{5x + 5}{x} \frac{x^{3}+ 3x^{2}}{x^{2} - 1} \frac{x - 1}{5x}$

Factor the expression

                   $\frac{5(x + 1)}{x} \frac{x^{2}(x + 3)}{(x - 1)(x + 1)} \frac{x - 1}{5x}$

Simplify

Cancel 5 because is in both numerator and denominator                  

Cancel (x + 1) because is in both numerator and denominator                  

Cancel (x - 1) because is in both numerator and denominator                  

Cancel x² because is in both numerator and denominator              

   

After simplifying, the result is  (x + 3)