Question

question
simplify the expression completely if possible.
$\frac{5x^{2}}{15x^{2}-45x}$

Explanation:

Step1: Factor denominator

Factor out $15x$ from the denominator:
$15x^2 - 45x = 15x(x - 3)$

Step2: Rewrite original expression

Substitute factored denominator into the expression:
$\frac{5x^2}{15x(x - 3)}$

Step3: Simplify constants and variables

Cancel common factors: $\frac{5}{15}=\frac{1}{3}$, and $\frac{x^2}{x}=x$ (for $x
eq0, x
eq3$):
$\frac{x}{3(x - 3)}$

Answer:

$\frac{x}{3(x - 3)}$ (where $x
eq0$ and $x
eq3$)