# How do you simplify (3x^3)/ (12x^2+ 9x)?

Jul 13, 2015

You can divide 'top'and 'bottom' by the same numbers.

#### Explanation:

One first condition/restriction is that $x \ne 0$
or the numerator will be $= 0$, which is not allowed.

After that we can divide everything by $3 x$

$= {x}^{2} / \left(4 x + 3\right)$

Which gives us the next restriction:
since $4 x + 3$ is not allowed to be $= 0 \to x \ne - \frac{3}{4}$