Question

question

divide: \\(\frac{y^2 - y - 6}{6y + 66} \div \frac{-y^2 - y + 12}{12y + 132}\\).

provide your answer below:

Explanation:

Convert division to multiplication

Using the Dividing Rational Expressions knowledge point

$$ \frac{y^2 - y - 6}{6y + 66} \div \frac{-y^2 - y + 12}{12y + 132} = \frac{y^2 - y - 6}{6y + 66} \cdot \frac{12y + 132}{-y^2 - y + 12} $$

Factor the numerators

Using the Factoring Trinomials and Greatest Common Factor Factoring knowledge points

$$
LATEXBLOCK0
$$

Factor the denominators

Using the Greatest Common Factor Factoring knowledge point

$$
LATEXBLOCK1
$$

Substitute and simplify the expression

Using the Opposite Factors knowledge point

$$
LATEXBLOCK2
$$

Answer:

Divide: \(\frac{y^2 - y - 6}{6y + 66} \div \frac{-y^2 - y + 12}{12y + 132}\).

Provide your answer below:
<blank>\(-\frac{2(y + 2)}{y + 4}\)</blank>