Question

(10v^4 + 30v^3 + 2v^2) / 10v

Answer 1

Given expression is

`(10v^4+30v^3+2v^2)/(10v)`

Now we need to simplify this expression. We can begin by factoring numerator and denominator if possible.

`= (2v^2(5v^2+15v+1))/(10v)`

divide numerator and denominator both by 2v

`= (v(5v^2+15v+1))/(5)`

`= (5v^3+15v^2+1v)/(5)`

Hence final answer is
`(5v^3+15v^2+1v)/(5)`

Or you can also keep factored form

`(v(5v^2+15v+1))/(5)`