Question

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

Answer 1

Given expression is

$\frac{10v^4+30v^3+2v^2}{10v}$

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

$= \frac{2v^2(5v^2+15v+1)}{10v}$

divide numerator and denominator both by 2v

$= \frac{v(5v^2+15v+1)}{5}$

$= \frac{5v^3+15v^2+1v}{5}$

Hence final answer is $\frac{5v^3+15v^2+1v}{5}$

Or you can also keep factored form

$\frac{v(5v^2+15v+1)}{5}$