Question

help luca fix his mistake. use the distributive property in reverse to rewrite the expression. $9y + 3 = (3 \cdot 3y) + (3 \cdot 1) = 3(3y + \square)$

Explanation:

Step1: Recall reverse distributive property

The reverse distributive property (factoring) is \(ab + ac = a(b + c)\). Here, \(a = 3\), \(ab=9y\) (so \(b = 3y\)) and \(ac = 3\) (so \(c=\frac{3}{3}=1\)).

Step2: Identify the missing term

We have \(9y + 3=3(3y + \square)\). Since \(3\times\square = 3\), solving for \(\square\) gives \(\square=\frac{3}{3}=1\).

Answer:

\(1\)