{x}^(3) + {7x}^(2) + 10x / {x}^(4) (x + 2) ​

Question

`{x}^(3) + {7x}^(2) + 10x / {x}^(4) (x + 2)`
​

Answer 1

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

`((x)(x + 2)(x + 5))/(x^4*(x + 2))`

Be very careful with this next step. Cancel the x and the (x + 2) in the top and bottom. You are left with

`((x +5))/(x^3)`

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