Question

-18y - 27
the gcf of -18 and -27 is -9.
-9 × □ = -18y
-9 × □ = -27
the factored expression is □.

Explanation:

Step1: Solve for the first blank

We know that \(-9\times \text{[blank]} = -18y\). To find the value in the blank, we divide both sides of the equation by \(-9\). So, \(\text{[blank]}=\frac{-18y}{-9}\). Simplifying the fraction \(\frac{-18}{-9}=2\), so the first blank is \(2y\).

Step2: Solve for the second blank

We know that \(-9\times \text{[blank]} = -27\). To find the value in the blank, we divide both sides of the equation by \(-9\). So, \(\text{[blank]}=\frac{-27}{-9}\). Simplifying the fraction \(\frac{-27}{-9}=3\), so the second blank is \(3\).

Step3: Factor the expression

Now that we have the two blanks as \(2y\) and \(3\), we can factor the original expression \(-18y - 27\) using the GCF \(-9\). The factored form is \(-9(2y + 3)\).

Answer:

First blank: \(2y\)
Second blank: \(3\)
Factored expression: \(-9(2y + 3)\)