Question

enter the correct answer in the box.

what is the simplest form of the expression representing this quotient?

\\\frac{x^2 - 2x}{x^2 - 10x + 25} \div \frac{6x^2 - 12x}{x^2 - 25}\\

Explanation:

Factor each polynomial in the expression

$$
LATEXBLOCK0
$$

Rewrite the division as multiplication by the reciprocal

$$ \frac{x(x - 2)}{(x - 5)^2} \cdot \frac{(x - 5)(x + 5)}{6x(x - 2)} $$

Simplify the expression by canceling common factors

$$
LATEXBLOCK1
$$

Answer:

What is the simplest form of the expression representing this quotient?
<blank>\(\frac{x+5}{6(x-5)}\)</blank>