Question

How do you simplify `(4x^2)/(4x^3+12x)`?

Answer 1

The answer is `=x/(x^2+3)`

Explanation:

Let's factorise the denominator

`4x^3+12x=4x(x^2+3)`

Therefore,

`(4x^2)/(4x(x^2+3))=(cancel(4x)*x)/(cancel(4x)(x^2+3))`

`=x/(x^2+3)`