Answer:
Step-by-step explanation:
Nice work with the latex. It is a hard language to use.
Numerator:
take out x(x^2 + 7x + 10)
Factor the contents of the brackets: (x + 2)(x + 5)
Combine x * (x + 2) * (x + 5)
Denominator: Leave at is it is.
Combine
[tex]\dfrac{(x)(x + 2)(x + 5)}{x^4*(x + 2)}[/tex]
Be very careful with this next step. Cancel the x and the (x + 2) in the top and bottom. You are left with
[tex]\dfrac{(x +5)}{x^3}[/tex]
The reason you have to be so careful is that you have to (or you should) mention that these cancellations can take place only if x ≠ 0 or that (x + 2)≠ 0
