Question

How do you simplify `(10x^5)/(2x^3+2x^2)`?

Answer 1

`(5x^3)/(x+1)`

Explanation:

In the denominator, simply it by taking out the greatest common factor in both terms.
This happens to be `2x^2`; both terms have that in common.
The denominator would become `2x^2(x+1)` (if you re-distribute this to check, you'll see that you get `2x^3+2x^2`)

Now you have `(10x^5)/(2x^2(x+1))`
Dividing powers is just subtracting the numbers, so `x^5/x^2=x^(5-2)=x^3`, and `10/2=5`

You're left with `5x^3xx1/(x+1)=(5x^3)/(x+1)` which cannot be simplified further.