Answer:
[tex] \frac{8x}{x-5} [/tex] which is option D
Explanation:
When multiplying fraction, we multiply the numerators by each other and the denominators by each other to get the final answer.
The given expression is:
[tex] \frac{x+2}{x-5} * \frac{8x}{x+2} [/tex]
1- we multiply the numerators by each other and the denominators by each other. This will give us:
[tex] \frac{(x+2)(8x)}{(x-5)(x+2)} [/tex]
2- We can note that there is (x+2) common on both the numerator and the denominator. Therefore, we will cross out this factor from both numerator and denominator. This will give us:
[tex] \frac{8x}{x-5} [/tex]
Since no further simplification can be done, therefore, our final answer would be [tex] \frac{8x}{x-5} [/tex]
Hope this helps :)
