Question

question

multiply: \\(\frac{y^2 - 4y - 45}{7y + 42} \cdot \frac{9y + 54}{-y^2 - 3y + 108}\\).

note: enter answer in factored form

provide your answer below:

Explanation:

Factor the first numerator

Using the Factoring Trinomials knowledge point

$$ y^2 - 4y - 45 = (y - 9)(y + 5) $$

Factor the first denominator

Using the Greatest Common Factor Factoring knowledge point

$$ 7y + 42 = 7(y + 6) $$

Factor the second numerator

Using the Greatest Common Factor Factoring knowledge point

$$ 9y + 54 = 9(y + 6) $$

Factor the second denominator

Using the Greatest Common Factor Factoring and Factoring Trinomials knowledge points

$$
LATEXBLOCK0
$$

Multiply and simplify the expressions

Using the Multiplying Rational Expressions and Simplifying Rational Expressions knowledge points

$$
LATEXBLOCK1
$$

Answer:

Multiply: \(\frac{y^2 - 4y - 45}{7y + 42} \cdot \frac{9y + 54}{-y^2 - 3y + 108}\).

Note: Enter answer in factored form

Provide your answer below:
<blank>\(-\frac{9(y + 5)}{7(y + 12)}\)</blank>